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Simplifying -53x = 5x2 Solving -53x = 5x2 Solving for variable 'x'. Combine like terms: 5x2 + -5x2 = 0 -53x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(53 + 5x) = 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 '(53 + 5x)' equal to zero and attempt to solve: Simplifying 53 + 5x = 0 Solving 53 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + 5x = 0 + -53 Combine like terms: 53 + -53 = 0 0 + 5x = 0 + -53 5x = 0 + -53 Combine like terms: 0 + -53 = -53 5x = -53 Divide each side by '5'. x = -10.6 Simplifying x = -10.6Solution
x = {0, -10.6}
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