If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (3x + -1)(5x + 4) + -15x = 17 Reorder the terms: (-1 + 3x)(5x + 4) + -15x = 17 Reorder the terms: (-1 + 3x)(4 + 5x) + -15x = 17 Multiply (-1 + 3x) * (4 + 5x) (-1(4 + 5x) + 3x * (4 + 5x)) + -15x = 17 ((4 * -1 + 5x * -1) + 3x * (4 + 5x)) + -15x = 17 ((-4 + -5x) + 3x * (4 + 5x)) + -15x = 17 (-4 + -5x + (4 * 3x + 5x * 3x)) + -15x = 17 (-4 + -5x + (12x + 15x2)) + -15x = 17 Combine like terms: -5x + 12x = 7x (-4 + 7x + 15x2) + -15x = 17 Reorder the terms: -4 + 7x + -15x + 15x2 = 17 Combine like terms: 7x + -15x = -8x -4 + -8x + 15x2 = 17 Solving -4 + -8x + 15x2 = 17 Solving for variable 'x'. Reorder the terms: -4 + -17 + -8x + 15x2 = 17 + -17 Combine like terms: -4 + -17 = -21 -21 + -8x + 15x2 = 17 + -17 Combine like terms: 17 + -17 = 0 -21 + -8x + 15x2 = 0 Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. -1.4 + -0.5333333333x + x2 = 0 Move the constant term to the right: Add '1.4' to each side of the equation. -1.4 + -0.5333333333x + 1.4 + x2 = 0 + 1.4 Reorder the terms: -1.4 + 1.4 + -0.5333333333x + x2 = 0 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + -0.5333333333x + x2 = 0 + 1.4 -0.5333333333x + x2 = 0 + 1.4 Combine like terms: 0 + 1.4 = 1.4 -0.5333333333x + x2 = 1.4 The x term is -0.5333333333x. Take half its coefficient (-0.2666666667). Square it (0.07111111113) and add it to both sides. Add '0.07111111113' to each side of the equation. -0.5333333333x + 0.07111111113 + x2 = 1.4 + 0.07111111113 Reorder the terms: 0.07111111113 + -0.5333333333x + x2 = 1.4 + 0.07111111113 Combine like terms: 1.4 + 0.07111111113 = 1.47111111113 0.07111111113 + -0.5333333333x + x2 = 1.47111111113 Factor a perfect square on the left side: (x + -0.2666666667)(x + -0.2666666667) = 1.47111111113 Calculate the square root of the right side: 1.212893693 Break this problem into two subproblems by setting (x + -0.2666666667) equal to 1.212893693 and -1.212893693.Subproblem 1
x + -0.2666666667 = 1.212893693 Simplifying x + -0.2666666667 = 1.212893693 Reorder the terms: -0.2666666667 + x = 1.212893693 Solving -0.2666666667 + x = 1.212893693 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2666666667' to each side of the equation. -0.2666666667 + 0.2666666667 + x = 1.212893693 + 0.2666666667 Combine like terms: -0.2666666667 + 0.2666666667 = 0.0000000000 0.0000000000 + x = 1.212893693 + 0.2666666667 x = 1.212893693 + 0.2666666667 Combine like terms: 1.212893693 + 0.2666666667 = 1.4795603597 x = 1.4795603597 Simplifying x = 1.4795603597Subproblem 2
x + -0.2666666667 = -1.212893693 Simplifying x + -0.2666666667 = -1.212893693 Reorder the terms: -0.2666666667 + x = -1.212893693 Solving -0.2666666667 + x = -1.212893693 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2666666667' to each side of the equation. -0.2666666667 + 0.2666666667 + x = -1.212893693 + 0.2666666667 Combine like terms: -0.2666666667 + 0.2666666667 = 0.0000000000 0.0000000000 + x = -1.212893693 + 0.2666666667 x = -1.212893693 + 0.2666666667 Combine like terms: -1.212893693 + 0.2666666667 = -0.9462270263 x = -0.9462270263 Simplifying x = -0.9462270263Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.4795603597, -0.9462270263}
| 9x+4x+4+8=10x+3+2x | | x^2+5y^2-4xy+8y+16=0 | | 4m-6n=14 | | -6(3b+1)+(19b-5)=0 | | 27x^4-18x^2+x+2=0 | | 7-c=-17 | | 6-(3+x)=12 | | X+14.9=27.1 | | M+8n=20 | | -3a-4=20 | | -8(-4-3n)=104 | | f(x)=5x^2-3x+8 | | 12y+34=106 | | 0.2(2x+54)=4x | | 2w+2(w+1)=50 | | 6x+0.3=18.3 | | 9m+102=20 | | 4(2y+4)=3(y-10) | | 3x+24y=14 | | xy=x+75 | | -4x+22=2(x+5) | | -8x+27=-3x+72 | | 18=2d+6 | | 2m-n=12 | | 16=7r-5 | | 14+(-27)= | | -2[4-(3b+2)]=6-2(3b+7) | | mx(m-2)=2m(3x-m-1) | | -14+(-13)= | | 4(x^2+6)+35x=0 | | 6x+(4x-5)-(3x-2)=-2+(4x-3)+2X | | 2x^2-3=-3 |