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Simplifying 2x(4 + 16) = 9x(x + 95) Combine like terms: 4 + 16 = 20 2x(20) = 9x(x + 95) Reorder the terms for easier multiplication: 2 * 20x = 9x(x + 95) Multiply 2 * 20 40x = 9x(x + 95) Reorder the terms: 40x = 9x(95 + x) 40x = (95 * 9x + x * 9x) 40x = (855x + 9x2) Solving 40x = 855x + 9x2 Solving for variable 'x'. Combine like terms: 40x + -855x = -815x -815x + -9x2 = 855x + 9x2 + -855x + -9x2 Reorder the terms: -815x + -9x2 = 855x + -855x + 9x2 + -9x2 Combine like terms: 855x + -855x = 0 -815x + -9x2 = 0 + 9x2 + -9x2 -815x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -815x + -9x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(815 + 9x) = 0 Ignore the factor -1.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 '(815 + 9x)' equal to zero and attempt to solve: Simplifying 815 + 9x = 0 Solving 815 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-815' to each side of the equation. 815 + -815 + 9x = 0 + -815 Combine like terms: 815 + -815 = 0 0 + 9x = 0 + -815 9x = 0 + -815 Combine like terms: 0 + -815 = -815 9x = -815 Divide each side by '9'. x = -90.55555556 Simplifying x = -90.55555556Solution
x = {0, -90.55555556}
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