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Simplifying 4(x + 1.5)(x + -4.5) = 0 Reorder the terms: 4(1.5 + x)(x + -4.5) = 0 Reorder the terms: 4(1.5 + x)(-4.5 + x) = 0 Multiply (1.5 + x) * (-4.5 + x) 4(1.5(-4.5 + x) + x(-4.5 + x)) = 0 4((-4.5 * 1.5 + x * 1.5) + x(-4.5 + x)) = 0 4((-6.75 + 1.5x) + x(-4.5 + x)) = 0 4(-6.75 + 1.5x + (-4.5 * x + x * x)) = 0 4(-6.75 + 1.5x + (-4.5x + x2)) = 0 Combine like terms: 1.5x + -4.5x = -3x 4(-6.75 + -3x + x2) = 0 (-6.75 * 4 + -3x * 4 + x2 * 4) = 0 (-27 + -12x + 4x2) = 0 Solving -27 + -12x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -2x)(9 + -2x) = 0Subproblem 1
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 = -1.5Subproblem 2
Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Solution
x = {-1.5, 4.5}
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