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Simplifying (-9 + 3x)(8 + -2x) = 0 Multiply (-9 + 3x) * (8 + -2x) (-9(8 + -2x) + 3x * (8 + -2x)) = 0 ((8 * -9 + -2x * -9) + 3x * (8 + -2x)) = 0 ((-72 + 18x) + 3x * (8 + -2x)) = 0 (-72 + 18x + (8 * 3x + -2x * 3x)) = 0 (-72 + 18x + (24x + -6x2)) = 0 Combine like terms: 18x + 24x = 42x (-72 + 42x + -6x2) = 0 Solving -72 + 42x + -6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(-12 + 7x + -1x2) = 0 Factor a trinomial. 6((-4 + x)(3 + -1x)) = 0 Ignore the factor 6.Subproblem 1
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 = 4Subproblem 2
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 = 3Solution
x = {4, 3}
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