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Simplifying (x + -2) * 3x + -1(x + 2)(x + -2) * 3 = (x + 2)(x + -9) Reorder the terms: (-2 + x) * 3x + -1(x + 2)(x + -2) * 3 = (x + 2)(x + -9) Reorder the terms for easier multiplication: 3x(-2 + x) + -1(x + 2)(x + -2) * 3 = (x + 2)(x + -9) (-2 * 3x + x * 3x) + -1(x + 2)(x + -2) * 3 = (x + 2)(x + -9) (-6x + 3x2) + -1(x + 2)(x + -2) * 3 = (x + 2)(x + -9) Reorder the terms: -6x + 3x2 + -1(2 + x)(x + -2) * 3 = (x + 2)(x + -9) Reorder the terms: -6x + 3x2 + -1(2 + x)(-2 + x) * 3 = (x + 2)(x + -9) Reorder the terms for easier multiplication: -6x + 3x2 + -1 * 3(2 + x)(-2 + x) = (x + 2)(x + -9) Multiply -1 * 3 -6x + 3x2 + -3(2 + x)(-2 + x) = (x + 2)(x + -9) Multiply (2 + x) * (-2 + x) -6x + 3x2 + -3(2(-2 + x) + x(-2 + x)) = (x + 2)(x + -9) -6x + 3x2 + -3((-2 * 2 + x * 2) + x(-2 + x)) = (x + 2)(x + -9) -6x + 3x2 + -3((-4 + 2x) + x(-2 + x)) = (x + 2)(x + -9) -6x + 3x2 + -3(-4 + 2x + (-2 * x + x * x)) = (x + 2)(x + -9) -6x + 3x2 + -3(-4 + 2x + (-2x + x2)) = (x + 2)(x + -9) Combine like terms: 2x + -2x = 0 -6x + 3x2 + -3(-4 + 0 + x2) = (x + 2)(x + -9) -6x + 3x2 + -3(-4 + x2) = (x + 2)(x + -9) -6x + 3x2 + (-4 * -3 + x2 * -3) = (x + 2)(x + -9) -6x + 3x2 + (12 + -3x2) = (x + 2)(x + -9) Reorder the terms: 12 + -6x + 3x2 + -3x2 = (x + 2)(x + -9) Combine like terms: 3x2 + -3x2 = 0 12 + -6x + 0 = (x + 2)(x + -9) 12 + -6x = (x + 2)(x + -9) Reorder the terms: 12 + -6x = (2 + x)(x + -9) Reorder the terms: 12 + -6x = (2 + x)(-9 + x) Multiply (2 + x) * (-9 + x) 12 + -6x = (2(-9 + x) + x(-9 + x)) 12 + -6x = ((-9 * 2 + x * 2) + x(-9 + x)) 12 + -6x = ((-18 + 2x) + x(-9 + x)) 12 + -6x = (-18 + 2x + (-9 * x + x * x)) 12 + -6x = (-18 + 2x + (-9x + x2)) Combine like terms: 2x + -9x = -7x 12 + -6x = (-18 + -7x + x2) Solving 12 + -6x = -18 + -7x + x2 Solving for variable 'x'. Reorder the terms: 12 + 18 + -6x + 7x + -1x2 = -18 + -7x + x2 + 18 + 7x + -1x2 Combine like terms: 12 + 18 = 30 30 + -6x + 7x + -1x2 = -18 + -7x + x2 + 18 + 7x + -1x2 Combine like terms: -6x + 7x = 1x 30 + 1x + -1x2 = -18 + -7x + x2 + 18 + 7x + -1x2 Reorder the terms: 30 + 1x + -1x2 = -18 + 18 + -7x + 7x + x2 + -1x2 Combine like terms: -18 + 18 = 0 30 + 1x + -1x2 = 0 + -7x + 7x + x2 + -1x2 30 + 1x + -1x2 = -7x + 7x + x2 + -1x2 Combine like terms: -7x + 7x = 0 30 + 1x + -1x2 = 0 + x2 + -1x2 30 + 1x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 30 + 1x + -1x2 = 0 Factor a trinomial. (6 + -1x)(5 + x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {6, -5}
| 5x^3-4x^2+10x-4=0 | | 0.5=6x+19 | | 9x-5=3x+6 | | 2x+8=-22+7x | | w^2+24w= | | -3n=-49 | | 3bsquared=24b | | 2p^2-10p-10=0 | | 500=.13x+x | | 29h^2-38h=0 | | y-3=-4(x-1) | | x-3+3+x+2=83 | | 34f^2-19f=0 | | 2d+1-5=3-5 | | -10x^2-34x-12=0 | | 8-17=m-17 | | 3x-16=23 | | 4-6(1-2x)=6x-8 | | 13x-[9+2(x+4)]=x | | -6w-44=4(w-6) | | x-2+1=3-2 | | 3e^2=14 | | -23=8x | | 7x^3-6x^2+8=f(x) | | 2x+4.3-x=9.8 | | 4.8=1.25(x-17) | | x-6+4=15 | | 4x-(-3x-5)=2x-10 | | 7d-3=3+6a | | 5+4x=93 | | 137.15=2.75h+71.15 | | 35=x%86 |