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Simplifying 5(3x) + -1(2x)(4x) = 0 Remove parenthesis around (3x) 5 * 3x + -1(2x)(4x) = 0 Multiply 5 * 3 15x + -1(2x)(4x) = 0 Remove parenthesis around (2x) 15x + -1 * 2x(4x) = 0 Remove parenthesis around (4x) 15x + -1 * 2x * 4x = 0 Reorder the terms for easier multiplication: 15x + -1 * 2 * 4x * x = 0 Multiply -1 * 2 15x + -2 * 4x * x = 0 Multiply -2 * 4 15x + -8x * x = 0 Multiply x * x 15x + -8x2 = 0 Solving 15x + -8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(15 + -8x) = 0Subproblem 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 '(15 + -8x)' equal to zero and attempt to solve: Simplifying 15 + -8x = 0 Solving 15 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -8x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = 0 + -15 -8x = 0 + -15 Combine like terms: 0 + -15 = -15 -8x = -15 Divide each side by '-8'. x = 1.875 Simplifying x = 1.875Solution
x = {0, 1.875}
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