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Simplifying (5x)(3x + 32) = 0 Remove parenthesis around (5x) 5x(3x + 32) = 0 Reorder the terms: 5x(32 + 3x) = 0 (32 * 5x + 3x * 5x) = 0 (160x + 15x2) = 0 Solving 160x + 15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(32 + 3x) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(32 + 3x)' equal to zero and attempt to solve: Simplifying 32 + 3x = 0 Solving 32 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 3x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 3x = 0 + -32 3x = 0 + -32 Combine like terms: 0 + -32 = -32 3x = -32 Divide each side by '3'. x = -10.66666667 Simplifying x = -10.66666667Solution
x = {0, -10.66666667}
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