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Simplifying (8x)(6x)(x + 10) = 0 Remove parenthesis around (8x) 8x(6x)(x + 10) = 0 Remove parenthesis around (6x) 8x * 6x(x + 10) = 0 Reorder the terms: 8x * 6x(10 + x) = 0 Reorder the terms for easier multiplication: 8 * 6x * x(10 + x) = 0 Multiply 8 * 6 48x * x(10 + x) = 0 Multiply x * x 48x2(10 + x) = 0 (10 * 48x2 + x * 48x2) = 0 (480x2 + 48x3) = 0 Solving 480x2 + 48x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '48x2'. 48x2(10 + x) = 0 Ignore the factor 48.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 '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Solution
x = {0, -10}
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