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Simplifying 12x + 3 = 2x2 + -7x + 3 Reorder the terms: 3 + 12x = 2x2 + -7x + 3 Reorder the terms: 3 + 12x = 3 + -7x + 2x2 Add '-3' to each side of the equation. 3 + -3 + 12x = 3 + -7x + -3 + 2x2 Combine like terms: 3 + -3 = 0 0 + 12x = 3 + -7x + -3 + 2x2 12x = 3 + -7x + -3 + 2x2 Reorder the terms: 12x = 3 + -3 + -7x + 2x2 Combine like terms: 3 + -3 = 0 12x = 0 + -7x + 2x2 12x = -7x + 2x2 Solving 12x = -7x + 2x2 Solving for variable 'x'. Combine like terms: 12x + 7x = 19x 19x + -2x2 = -7x + 2x2 + 7x + -2x2 Reorder the terms: 19x + -2x2 = -7x + 7x + 2x2 + -2x2 Combine like terms: -7x + 7x = 0 19x + -2x2 = 0 + 2x2 + -2x2 19x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 19x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(19 + -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 '(19 + -2x)' equal to zero and attempt to solve: Simplifying 19 + -2x = 0 Solving 19 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -2x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -2x = 0 + -19 -2x = 0 + -19 Combine like terms: 0 + -19 = -19 -2x = -19 Divide each side by '-2'. x = 9.5 Simplifying x = 9.5Solution
x = {0, 9.5}
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