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Simplifying (2x + 6)(x + -2) = (x + 1)(x + 3) Reorder the terms: (6 + 2x)(x + -2) = (x + 1)(x + 3) Reorder the terms: (6 + 2x)(-2 + x) = (x + 1)(x + 3) Multiply (6 + 2x) * (-2 + x) (6(-2 + x) + 2x * (-2 + x)) = (x + 1)(x + 3) ((-2 * 6 + x * 6) + 2x * (-2 + x)) = (x + 1)(x + 3) ((-12 + 6x) + 2x * (-2 + x)) = (x + 1)(x + 3) (-12 + 6x + (-2 * 2x + x * 2x)) = (x + 1)(x + 3) (-12 + 6x + (-4x + 2x2)) = (x + 1)(x + 3) Combine like terms: 6x + -4x = 2x (-12 + 2x + 2x2) = (x + 1)(x + 3) Reorder the terms: -12 + 2x + 2x2 = (1 + x)(x + 3) Reorder the terms: -12 + 2x + 2x2 = (1 + x)(3 + x) Multiply (1 + x) * (3 + x) -12 + 2x + 2x2 = (1(3 + x) + x(3 + x)) -12 + 2x + 2x2 = ((3 * 1 + x * 1) + x(3 + x)) -12 + 2x + 2x2 = ((3 + 1x) + x(3 + x)) -12 + 2x + 2x2 = (3 + 1x + (3 * x + x * x)) -12 + 2x + 2x2 = (3 + 1x + (3x + x2)) Combine like terms: 1x + 3x = 4x -12 + 2x + 2x2 = (3 + 4x + x2) Solving -12 + 2x + 2x2 = 3 + 4x + x2 Solving for variable 'x'. Reorder the terms: -12 + -3 + 2x + -4x + 2x2 + -1x2 = 3 + 4x + x2 + -3 + -4x + -1x2 Combine like terms: -12 + -3 = -15 -15 + 2x + -4x + 2x2 + -1x2 = 3 + 4x + x2 + -3 + -4x + -1x2 Combine like terms: 2x + -4x = -2x -15 + -2x + 2x2 + -1x2 = 3 + 4x + x2 + -3 + -4x + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 -15 + -2x + 1x2 = 3 + 4x + x2 + -3 + -4x + -1x2 Reorder the terms: -15 + -2x + 1x2 = 3 + -3 + 4x + -4x + x2 + -1x2 Combine like terms: 3 + -3 = 0 -15 + -2x + 1x2 = 0 + 4x + -4x + x2 + -1x2 -15 + -2x + 1x2 = 4x + -4x + x2 + -1x2 Combine like terms: 4x + -4x = 0 -15 + -2x + 1x2 = 0 + x2 + -1x2 -15 + -2x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -15 + -2x + 1x2 = 0 Factor a trinomial. (-3 + -1x)(5 + -1x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-3, 5}
| 95-5x=13x+17 | | -4.3x=-12.9 | | -10-7=9x+22 | | -26m=-208 | | -9=4r | | X+5=-(4x+4) | | -20=x-17 | | x+19=-4 | | 7x(2x-3)=4x(12-3) | | -9=7s+32 | | 25y+7y^2=12 | | 107-6x=12x+15 | | 6(5g-9999)=7g | | 5x+2=7x-7 | | 3/4(x+2)=5 | | 3/5(x+2)=5 | | 3.5(x+2)=5 | | 4a-3=12 | | 6x+30+4x=10x(x+3) | | 2a+4=7 | | 49=28+63y | | 40+4y-16=13Y-12-13y | | 12x*x+5x+4=125 | | .31=1.49-(x+.2) | | 28y+21=63 | | 0=40-10x | | 10(b-1)+3=83 | | 2(p-2)+4=14 | | 9(n+1)-1=17 | | 5(m-4)+2=32 | | x(x-7)=19+x^2 | | 4(y-3)+3=23 |