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Simplifying 5(5x + 7) * 9x = 0 Reorder the terms: 5(7 + 5x) * 9x = 0 Reorder the terms for easier multiplication: 5 * 9x(7 + 5x) = 0 Multiply 5 * 9 45x(7 + 5x) = 0 (7 * 45x + 5x * 45x) = 0 (315x + 225x2) = 0 Solving 315x + 225x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '45x'. 45x(7 + 5x) = 0 Ignore the factor 45.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 + 5x)' equal to zero and attempt to solve: Simplifying 7 + 5x = 0 Solving 7 + 5x = 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 + 5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 0 + -7 5x = 0 + -7 Combine like terms: 0 + -7 = -7 5x = -7 Divide each side by '5'. x = -1.4 Simplifying x = -1.4Solution
x = {0, -1.4}
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