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Simplifying (3x2 + -27)(8x2) * 39.5 = 0 Reorder the terms: (-27 + 3x2)(8x2) * 39.5 = 0 Remove parenthesis around (8x2) (-27 + 3x2) * 8x2 * 39.5 = 0 Reorder the terms for easier multiplication: 8 * 39.5x2(-27 + 3x2) = 0 Multiply 8 * 39.5 316x2(-27 + 3x2) = 0 (-27 * 316x2 + 3x2 * 316x2) = 0 (-8532x2 + 948x4) = 0 Solving -8532x2 + 948x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '948x2'. 948x2(-9 + x2) = 0 Factor a difference between two squares. 948x2((3 + x)(-3 + x)) = 0 Ignore the factor 948.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 3
Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 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 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Solution
x = {0, -3, 3}
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