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Simplifying 12x = 2x2 + 5x Reorder the terms: 12x = 5x + 2x2 Solving 12x = 5x + 2x2 Solving for variable 'x'. Combine like terms: 12x + -5x = 7x 7x + -2x2 = 5x + 2x2 + -5x + -2x2 Reorder the terms: 7x + -2x2 = 5x + -5x + 2x2 + -2x2 Combine like terms: 5x + -5x = 0 7x + -2x2 = 0 + 2x2 + -2x2 7x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 7x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(7 + -2x) = 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 '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Solution
x = {0, 3.5}
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