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Simplifying (5x)(25x + 30) = (5x) Remove parenthesis around (5x) 5x(25x + 30) = (5x) Reorder the terms: 5x(30 + 25x) = (5x) (30 * 5x + 25x * 5x) = (5x) (150x + 125x2) = (5x) Solving 150x + 125x2 = (5x) Solving for variable 'x'. Reorder the terms: 150x + (-5x) + 125x2 = (5x) + (-5x) Combine like terms: 150x + (-5x) = 145x 145x + 125x2 = (5x) + (-5x) Combine like terms: (5x) + (-5x) = 0 145x + 125x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(29 + 25x) = 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 '(29 + 25x)' equal to zero and attempt to solve: Simplifying 29 + 25x = 0 Solving 29 + 25x = 0 Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 25x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 25x = 0 + -29 25x = 0 + -29 Combine like terms: 0 + -29 = -29 25x = -29 Divide each side by '25'. x = -1.16 Simplifying x = -1.16Solution
x = {0, -1.16}
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