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Simplifying (x + -18)(-2x + 3) = 0 Reorder the terms: (-18 + x)(-2x + 3) = 0 Reorder the terms: (-18 + x)(3 + -2x) = 0 Multiply (-18 + x) * (3 + -2x) (-18(3 + -2x) + x(3 + -2x)) = 0 ((3 * -18 + -2x * -18) + x(3 + -2x)) = 0 ((-54 + 36x) + x(3 + -2x)) = 0 (-54 + 36x + (3 * x + -2x * x)) = 0 (-54 + 36x + (3x + -2x2)) = 0 Combine like terms: 36x + 3x = 39x (-54 + 39x + -2x2) = 0 Solving -54 + 39x + -2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-18 + x)(3 + -2x) = 0Subproblem 1
Set the factor '(-18 + x)' equal to zero and attempt to solve: Simplifying -18 + x = 0 Solving -18 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + x = 0 + 18 x = 0 + 18 Combine like terms: 0 + 18 = 18 x = 18 Simplifying x = 18Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {18, 1.5}
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