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Simplifying (x + 7)(4x * -5) = 0 Reorder the terms: (7 + x)(4x * -5) = 0 Reorder the terms for easier multiplication: (7 + x)(4 * -5x) = 0 Multiply 4 * -5 (7 + x)(-20x) = 0 Remove parenthesis around (-20x) (7 + x) * -20x = 0 Reorder the terms for easier multiplication: -20x(7 + x) = 0 (7 * -20x + x * -20x) = 0 (-140x + -20x2) = 0 Solving -140x + -20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-20x'. -20x(7 + x) = 0 Ignore the factor -20.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 '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {0, -7}
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