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Simplifying x * x = 4(x + -3)(x + -3) Multiply x * x x2 = 4(x + -3)(x + -3) Reorder the terms: x2 = 4(-3 + x)(x + -3) Reorder the terms: x2 = 4(-3 + x)(-3 + x) Multiply (-3 + x) * (-3 + x) x2 = 4(-3(-3 + x) + x(-3 + x)) x2 = 4((-3 * -3 + x * -3) + x(-3 + x)) x2 = 4((9 + -3x) + x(-3 + x)) x2 = 4(9 + -3x + (-3 * x + x * x)) x2 = 4(9 + -3x + (-3x + x2)) Combine like terms: -3x + -3x = -6x x2 = 4(9 + -6x + x2) x2 = (9 * 4 + -6x * 4 + x2 * 4) x2 = (36 + -24x + 4x2) Solving x2 = 36 + -24x + 4x2 Solving for variable 'x'. Reorder the terms: -36 + 24x + x2 + -4x2 = 36 + -24x + 4x2 + -36 + 24x + -4x2 Combine like terms: x2 + -4x2 = -3x2 -36 + 24x + -3x2 = 36 + -24x + 4x2 + -36 + 24x + -4x2 Reorder the terms: -36 + 24x + -3x2 = 36 + -36 + -24x + 24x + 4x2 + -4x2 Combine like terms: 36 + -36 = 0 -36 + 24x + -3x2 = 0 + -24x + 24x + 4x2 + -4x2 -36 + 24x + -3x2 = -24x + 24x + 4x2 + -4x2 Combine like terms: -24x + 24x = 0 -36 + 24x + -3x2 = 0 + 4x2 + -4x2 -36 + 24x + -3x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -36 + 24x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-12 + 8x + -1x2) = 0 Factor a trinomial. 3((-6 + x)(2 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 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 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {6, 2}
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