If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (2x + -5)(x + 3) = 22 Reorder the terms: (-5 + 2x)(x + 3) = 22 Reorder the terms: (-5 + 2x)(3 + x) = 22 Multiply (-5 + 2x) * (3 + x) (-5(3 + x) + 2x * (3 + x)) = 22 ((3 * -5 + x * -5) + 2x * (3 + x)) = 22 ((-15 + -5x) + 2x * (3 + x)) = 22 (-15 + -5x + (3 * 2x + x * 2x)) = 22 (-15 + -5x + (6x + 2x2)) = 22 Combine like terms: -5x + 6x = 1x (-15 + 1x + 2x2) = 22 Solving -15 + 1x + 2x2 = 22 Solving for variable 'x'. Reorder the terms: -15 + -22 + 1x + 2x2 = 22 + -22 Combine like terms: -15 + -22 = -37 -37 + 1x + 2x2 = 22 + -22 Combine like terms: 22 + -22 = 0 -37 + 1x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -18.5 + 0.5x + x2 = 0 Move the constant term to the right: Add '18.5' to each side of the equation. -18.5 + 0.5x + 18.5 + x2 = 0 + 18.5 Reorder the terms: -18.5 + 18.5 + 0.5x + x2 = 0 + 18.5 Combine like terms: -18.5 + 18.5 = 0.0 0.0 + 0.5x + x2 = 0 + 18.5 0.5x + x2 = 0 + 18.5 Combine like terms: 0 + 18.5 = 18.5 0.5x + x2 = 18.5 The x term is 0.5x. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5x + 0.0625 + x2 = 18.5 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x2 = 18.5 + 0.0625 Combine like terms: 18.5 + 0.0625 = 18.5625 0.0625 + 0.5x + x2 = 18.5625 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = 18.5625 Calculate the square root of the right side: 4.308421985 Break this problem into two subproblems by setting (x + 0.25) equal to 4.308421985 and -4.308421985.Subproblem 1
x + 0.25 = 4.308421985 Simplifying x + 0.25 = 4.308421985 Reorder the terms: 0.25 + x = 4.308421985 Solving 0.25 + x = 4.308421985 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + x = 4.308421985 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + x = 4.308421985 + -0.25 x = 4.308421985 + -0.25 Combine like terms: 4.308421985 + -0.25 = 4.058421985 x = 4.058421985 Simplifying x = 4.058421985Subproblem 2
x + 0.25 = -4.308421985 Simplifying x + 0.25 = -4.308421985 Reorder the terms: 0.25 + x = -4.308421985 Solving 0.25 + x = -4.308421985 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + x = -4.308421985 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + x = -4.308421985 + -0.25 x = -4.308421985 + -0.25 Combine like terms: -4.308421985 + -0.25 = -4.558421985 x = -4.558421985 Simplifying x = -4.558421985Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.058421985, -4.558421985}
| 4a-10=25a-7 | | 20x-30=3x | | -2x+14=-2x-6 | | 15x+7x+8= | | 12(b-4)= | | 2x+4x=2x-4 | | 6x-12-3x=9x+2+x | | (2x-5)(x+3)=14 | | 29.50=1.50x+15 | | 64c^3-9=0 | | xsquared-2x-7=0 | | 6(x-7)+18=3(x-5) | | 40x-60=x | | lx-4l+1= | | rx^2-10x+22=0 | | 3x+2-5x=-7 | | (x+1)(x-1)=(2x+8)(x-1) | | (C-24)=7c | | 56x+2194x-73=45(50x+73) | | -8x-5=5x+6 | | 11-3+x=-3x+4 | | 56x+2194x-73=45(50x-73) | | 2(-5-x)=-13-2x | | N^2=8+2n | | x-x+=1 | | -3+-8(-8x*2+5)+10x= | | Y=-3(5+2y)-6 | | 8-9(3+6)=b-9 | | 3x-24=4 | | x-5+3x-1=4+2 | | f(10)=3x+7 | | 3(6x-8)+9=18x-15 |