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Simplifying (29 * 2x) * 2 + 5x = x2 Multiply 29 * 2 (58x) * 2 + 5x = x2 Remove parenthesis around (58x) 58x * 2 + 5x = x2 Reorder the terms for easier multiplication: 58 * 2x + 5x = x2 Multiply 58 * 2 116x + 5x = x2 Combine like terms: 116x + 5x = 121x 121x = x2 Solving 121x = x2 Solving for variable 'x'. Combine like terms: x2 + -1x2 = 0 121x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(121 + -1x) = 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 '(121 + -1x)' equal to zero and attempt to solve: Simplifying 121 + -1x = 0 Solving 121 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-121' to each side of the equation. 121 + -121 + -1x = 0 + -121 Combine like terms: 121 + -121 = 0 0 + -1x = 0 + -121 -1x = 0 + -121 Combine like terms: 0 + -121 = -121 -1x = -121 Divide each side by '-1'. x = 121 Simplifying x = 121Solution
x = {0, 121}
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