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Simplifying 5(x + -12x2) + 3(4x + 7x2) = 0 (x * 5 + -12x2 * 5) + 3(4x + 7x2) = 0 (5x + -60x2) + 3(4x + 7x2) = 0 5x + -60x2 + (4x * 3 + 7x2 * 3) = 0 5x + -60x2 + (12x + 21x2) = 0 Reorder the terms: 5x + 12x + -60x2 + 21x2 = 0 Combine like terms: 5x + 12x = 17x 17x + -60x2 + 21x2 = 0 Combine like terms: -60x2 + 21x2 = -39x2 17x + -39x2 = 0 Solving 17x + -39x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(17 + -39x) = 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 '(17 + -39x)' equal to zero and attempt to solve: Simplifying 17 + -39x = 0 Solving 17 + -39x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -39x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -39x = 0 + -17 -39x = 0 + -17 Combine like terms: 0 + -17 = -17 -39x = -17 Divide each side by '-39'. x = 0.4358974359 Simplifying x = 0.4358974359Solution
x = {0, 0.4358974359}
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