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Simplifying x = 5x2 + x * 5 Reorder the terms for easier multiplication: x = 5x2 + 5x Reorder the terms: x = 5x + 5x2 Solving x = 5x + 5x2 Solving for variable 'x'. Combine like terms: x + -5x = -4x -4x + -5x2 = 5x + 5x2 + -5x + -5x2 Reorder the terms: -4x + -5x2 = 5x + -5x + 5x2 + -5x2 Combine like terms: 5x + -5x = 0 -4x + -5x2 = 0 + 5x2 + -5x2 -4x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -4x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(4 + 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 '(4 + 5x)' equal to zero and attempt to solve: Simplifying 4 + 5x = 0 Solving 4 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4 Combine like terms: 0 + -4 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8Solution
x = {0, -0.8}
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