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Simplifying -2x2 = 45x Solving -2x2 = 45x Solving for variable 'x'. Reorder the terms: -45x + -2x2 = 45x + -45x Combine like terms: 45x + -45x = 0 -45x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(45 + 2x) = 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 '(45 + 2x)' equal to zero and attempt to solve: Simplifying 45 + 2x = 0 Solving 45 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 2x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 2x = 0 + -45 2x = 0 + -45 Combine like terms: 0 + -45 = -45 2x = -45 Divide each side by '2'. x = -22.5 Simplifying x = -22.5Solution
x = {0, -22.5}
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