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Simplifying (2x + -1)(x + 2) = (x + -2)(x + 1) Reorder the terms: (-1 + 2x)(x + 2) = (x + -2)(x + 1) Reorder the terms: (-1 + 2x)(2 + x) = (x + -2)(x + 1) Multiply (-1 + 2x) * (2 + x) (-1(2 + x) + 2x * (2 + x)) = (x + -2)(x + 1) ((2 * -1 + x * -1) + 2x * (2 + x)) = (x + -2)(x + 1) ((-2 + -1x) + 2x * (2 + x)) = (x + -2)(x + 1) (-2 + -1x + (2 * 2x + x * 2x)) = (x + -2)(x + 1) (-2 + -1x + (4x + 2x2)) = (x + -2)(x + 1) Combine like terms: -1x + 4x = 3x (-2 + 3x + 2x2) = (x + -2)(x + 1) Reorder the terms: -2 + 3x + 2x2 = (-2 + x)(x + 1) Reorder the terms: -2 + 3x + 2x2 = (-2 + x)(1 + x) Multiply (-2 + x) * (1 + x) -2 + 3x + 2x2 = (-2(1 + x) + x(1 + x)) -2 + 3x + 2x2 = ((1 * -2 + x * -2) + x(1 + x)) -2 + 3x + 2x2 = ((-2 + -2x) + x(1 + x)) -2 + 3x + 2x2 = (-2 + -2x + (1 * x + x * x)) -2 + 3x + 2x2 = (-2 + -2x + (1x + x2)) Combine like terms: -2x + 1x = -1x -2 + 3x + 2x2 = (-2 + -1x + x2) Add '2' to each side of the equation. -2 + 3x + 2 + 2x2 = -2 + -1x + 2 + x2 Reorder the terms: -2 + 2 + 3x + 2x2 = -2 + -1x + 2 + x2 Combine like terms: -2 + 2 = 0 0 + 3x + 2x2 = -2 + -1x + 2 + x2 3x + 2x2 = -2 + -1x + 2 + x2 Reorder the terms: 3x + 2x2 = -2 + 2 + -1x + x2 Combine like terms: -2 + 2 = 0 3x + 2x2 = 0 + -1x + x2 3x + 2x2 = -1x + x2 Solving 3x + 2x2 = -1x + x2 Solving for variable 'x'. Reorder the terms: 3x + x + 2x2 + -1x2 = -1x + x2 + x + -1x2 Combine like terms: 3x + x = 4x 4x + 2x2 + -1x2 = -1x + x2 + x + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 4x + 1x2 = -1x + x2 + x + -1x2 Reorder the terms: 4x + 1x2 = -1x + x + x2 + -1x2 Combine like terms: -1x + x = 0 4x + 1x2 = 0 + x2 + -1x2 4x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4x + 1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(4 + x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {0, -4}
| 5m+14=16 | | 13-12x=40 | | x+y=402 | | 7(x+4)+5=-16 | | 4x-9+12x=9 | | 5x-6+7x=14 | | 9z-7=-6+4(z+6) | | 2(x)+2(y)=82 | | -12x=5x-9x-8 | | 0.625+r=0.875 | | -2+4g-(7-2g)+3(-5-7)=2-5(g+6) | | R-0.375=0.25 | | 8x^2-9x-32=0 | | 2x+24=5y | | P-0.3=0.08 | | 1/4-4/1 | | 0+(-3)=3(a-3) | | P-0.25=0.6 | | x+0.444=0.75 | | T*6=60 | | -8.3=d-3.4 | | T-10=10 | | 5=3(4-1b)+2 | | z-12=13 | | 8(a-3)-6=5a+5 | | https://my.hrw.com/math06_07/student/bookjpegs/msm1/msm1_07_0638.jpg | | 6x+5y-y= | | 8m-11=-5 | | 6x-5=9+2(x+1) | | 6*y=60 | | 4x+3y=67 | | X=180-x/2-12 |
