If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (x + 3)(2x + -3)(5x + -8) = (x + -1)(2x + 3)(5x + -1) Reorder the terms: (3 + x)(2x + -3)(5x + -8) = (x + -1)(2x + 3)(5x + -1) Reorder the terms: (3 + x)(-3 + 2x)(5x + -8) = (x + -1)(2x + 3)(5x + -1) Reorder the terms: (3 + x)(-3 + 2x)(-8 + 5x) = (x + -1)(2x + 3)(5x + -1) Multiply (3 + x) * (-3 + 2x) (3(-3 + 2x) + x(-3 + 2x))(-8 + 5x) = (x + -1)(2x + 3)(5x + -1) ((-3 * 3 + 2x * 3) + x(-3 + 2x))(-8 + 5x) = (x + -1)(2x + 3)(5x + -1) ((-9 + 6x) + x(-3 + 2x))(-8 + 5x) = (x + -1)(2x + 3)(5x + -1) (-9 + 6x + (-3 * x + 2x * x))(-8 + 5x) = (x + -1)(2x + 3)(5x + -1) (-9 + 6x + (-3x + 2x2))(-8 + 5x) = (x + -1)(2x + 3)(5x + -1) Combine like terms: 6x + -3x = 3x (-9 + 3x + 2x2)(-8 + 5x) = (x + -1)(2x + 3)(5x + -1) Multiply (-9 + 3x + 2x2) * (-8 + 5x) (-9(-8 + 5x) + 3x * (-8 + 5x) + 2x2 * (-8 + 5x)) = (x + -1)(2x + 3)(5x + -1) ((-8 * -9 + 5x * -9) + 3x * (-8 + 5x) + 2x2 * (-8 + 5x)) = (x + -1)(2x + 3)(5x + -1) ((72 + -45x) + 3x * (-8 + 5x) + 2x2 * (-8 + 5x)) = (x + -1)(2x + 3)(5x + -1) (72 + -45x + (-8 * 3x + 5x * 3x) + 2x2 * (-8 + 5x)) = (x + -1)(2x + 3)(5x + -1) (72 + -45x + (-24x + 15x2) + 2x2 * (-8 + 5x)) = (x + -1)(2x + 3)(5x + -1) (72 + -45x + -24x + 15x2 + (-8 * 2x2 + 5x * 2x2)) = (x + -1)(2x + 3)(5x + -1) (72 + -45x + -24x + 15x2 + (-16x2 + 10x3)) = (x + -1)(2x + 3)(5x + -1) Combine like terms: -45x + -24x = -69x (72 + -69x + 15x2 + -16x2 + 10x3) = (x + -1)(2x + 3)(5x + -1) Combine like terms: 15x2 + -16x2 = -1x2 (72 + -69x + -1x2 + 10x3) = (x + -1)(2x + 3)(5x + -1) Reorder the terms: 72 + -69x + -1x2 + 10x3 = (-1 + x)(2x + 3)(5x + -1) Reorder the terms: 72 + -69x + -1x2 + 10x3 = (-1 + x)(3 + 2x)(5x + -1) Reorder the terms: 72 + -69x + -1x2 + 10x3 = (-1 + x)(3 + 2x)(-1 + 5x) Multiply (-1 + x) * (3 + 2x) 72 + -69x + -1x2 + 10x3 = (-1(3 + 2x) + x(3 + 2x))(-1 + 5x) 72 + -69x + -1x2 + 10x3 = ((3 * -1 + 2x * -1) + x(3 + 2x))(-1 + 5x) 72 + -69x + -1x2 + 10x3 = ((-3 + -2x) + x(3 + 2x))(-1 + 5x) 72 + -69x + -1x2 + 10x3 = (-3 + -2x + (3 * x + 2x * x))(-1 + 5x) 72 + -69x + -1x2 + 10x3 = (-3 + -2x + (3x + 2x2))(-1 + 5x) Combine like terms: -2x + 3x = 1x 72 + -69x + -1x2 + 10x3 = (-3 + 1x + 2x2)(-1 + 5x) Multiply (-3 + 1x + 2x2) * (-1 + 5x) 72 + -69x + -1x2 + 10x3 = (-3(-1 + 5x) + 1x * (-1 + 5x) + 2x2 * (-1 + 5x)) 72 + -69x + -1x2 + 10x3 = ((-1 * -3 + 5x * -3) + 1x * (-1 + 5x) + 2x2 * (-1 + 5x)) 72 + -69x + -1x2 + 10x3 = ((3 + -15x) + 1x * (-1 + 5x) + 2x2 * (-1 + 5x)) 72 + -69x + -1x2 + 10x3 = (3 + -15x + (-1 * 1x + 5x * 1x) + 2x2 * (-1 + 5x)) 72 + -69x + -1x2 + 10x3 = (3 + -15x + (-1x + 5x2) + 2x2 * (-1 + 5x)) 72 + -69x + -1x2 + 10x3 = (3 + -15x + -1x + 5x2 + (-1 * 2x2 + 5x * 2x2)) 72 + -69x + -1x2 + 10x3 = (3 + -15x + -1x + 5x2 + (-2x2 + 10x3)) Combine like terms: -15x + -1x = -16x 72 + -69x + -1x2 + 10x3 = (3 + -16x + 5x2 + -2x2 + 10x3) Combine like terms: 5x2 + -2x2 = 3x2 72 + -69x + -1x2 + 10x3 = (3 + -16x + 3x2 + 10x3) Add '-10x3' to each side of the equation. 72 + -69x + -1x2 + 10x3 + -10x3 = 3 + -16x + 3x2 + 10x3 + -10x3 Combine like terms: 10x3 + -10x3 = 0 72 + -69x + -1x2 + 0 = 3 + -16x + 3x2 + 10x3 + -10x3 72 + -69x + -1x2 = 3 + -16x + 3x2 + 10x3 + -10x3 Combine like terms: 10x3 + -10x3 = 0 72 + -69x + -1x2 = 3 + -16x + 3x2 + 0 72 + -69x + -1x2 = 3 + -16x + 3x2 Solving 72 + -69x + -1x2 = 3 + -16x + 3x2 Solving for variable 'x'. Reorder the terms: 72 + -3 + -69x + 16x + -1x2 + -3x2 = 3 + -16x + 3x2 + -3 + 16x + -3x2 Combine like terms: 72 + -3 = 69 69 + -69x + 16x + -1x2 + -3x2 = 3 + -16x + 3x2 + -3 + 16x + -3x2 Combine like terms: -69x + 16x = -53x 69 + -53x + -1x2 + -3x2 = 3 + -16x + 3x2 + -3 + 16x + -3x2 Combine like terms: -1x2 + -3x2 = -4x2 69 + -53x + -4x2 = 3 + -16x + 3x2 + -3 + 16x + -3x2 Reorder the terms: 69 + -53x + -4x2 = 3 + -3 + -16x + 16x + 3x2 + -3x2 Combine like terms: 3 + -3 = 0 69 + -53x + -4x2 = 0 + -16x + 16x + 3x2 + -3x2 69 + -53x + -4x2 = -16x + 16x + 3x2 + -3x2 Combine like terms: -16x + 16x = 0 69 + -53x + -4x2 = 0 + 3x2 + -3x2 69 + -53x + -4x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 69 + -53x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. -17.25 + 13.25x + x2 = 0 Move the constant term to the right: Add '17.25' to each side of the equation. -17.25 + 13.25x + 17.25 + x2 = 0 + 17.25 Reorder the terms: -17.25 + 17.25 + 13.25x + x2 = 0 + 17.25 Combine like terms: -17.25 + 17.25 = 0.00 0.00 + 13.25x + x2 = 0 + 17.25 13.25x + x2 = 0 + 17.25 Combine like terms: 0 + 17.25 = 17.25 13.25x + x2 = 17.25 The x term is 13.25x. Take half its coefficient (6.625). Square it (43.890625) and add it to both sides. Add '43.890625' to each side of the equation. 13.25x + 43.890625 + x2 = 17.25 + 43.890625 Reorder the terms: 43.890625 + 13.25x + x2 = 17.25 + 43.890625 Combine like terms: 17.25 + 43.890625 = 61.140625 43.890625 + 13.25x + x2 = 61.140625 Factor a perfect square on the left side: (x + 6.625)(x + 6.625) = 61.140625 Calculate the square root of the right side: 7.819247087 Break this problem into two subproblems by setting (x + 6.625) equal to 7.819247087 and -7.819247087.Subproblem 1
x + 6.625 = 7.819247087 Simplifying x + 6.625 = 7.819247087 Reorder the terms: 6.625 + x = 7.819247087 Solving 6.625 + x = 7.819247087 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.625' to each side of the equation. 6.625 + -6.625 + x = 7.819247087 + -6.625 Combine like terms: 6.625 + -6.625 = 0.000 0.000 + x = 7.819247087 + -6.625 x = 7.819247087 + -6.625 Combine like terms: 7.819247087 + -6.625 = 1.194247087 x = 1.194247087 Simplifying x = 1.194247087Subproblem 2
x + 6.625 = -7.819247087 Simplifying x + 6.625 = -7.819247087 Reorder the terms: 6.625 + x = -7.819247087 Solving 6.625 + x = -7.819247087 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.625' to each side of the equation. 6.625 + -6.625 + x = -7.819247087 + -6.625 Combine like terms: 6.625 + -6.625 = 0.000 0.000 + x = -7.819247087 + -6.625 x = -7.819247087 + -6.625 Combine like terms: -7.819247087 + -6.625 = -14.444247087 x = -14.444247087 Simplifying x = -14.444247087Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.194247087, -14.444247087}
| 13=m+7 | | 2z-0.1=3z | | y+2x=200 | | 2(m-5)-2(2m+8)=-3(m+1)+2 | | 14x+18=4+298 | | 2(w-8)=16 | | 9(x+3)=9+8x | | 5x^2+18+9=0 | | 127-3x=42x+22 | | 42a=6 | | -3(z-8)=-4z | | 6x-9=7x-3 | | M(x+d)=f | | 3(x+3)=4(-2+x) | | 6(6+5m)=14+8m | | 4(x-1)=5x-7 | | 179-6x=6x+11 | | 6(x-3)=12+6x | | 4(x-4)+8=6x-2(2+x) | | 6x+17=15-73 | | x^2=43.75 | | x+2-3=12 | | 2d+x=f | | 4(x-2)+(x+3)=6 | | 5y+10=-35 | | -3-3x=-3(x+3) | | 7y+4y-24=4y+8-5 | | x*x+2x=25 | | 1z-8=20 | | 8x=7+x | | 6(x-1)=-2(3-3x) | | 45+7x=20 |