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Simplifying -19x2 + -12x2 + 16x = 0 Reorder the terms: 16x + -19x2 + -12x2 = 0 Combine like terms: -19x2 + -12x2 = -31x2 16x + -31x2 = 0 Solving 16x + -31x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(16 + -31x) = 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 '(16 + -31x)' equal to zero and attempt to solve: Simplifying 16 + -31x = 0 Solving 16 + -31x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -31x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -31x = 0 + -16 -31x = 0 + -16 Combine like terms: 0 + -16 = -16 -31x = -16 Divide each side by '-31'. x = 0.5161290323 Simplifying x = 0.5161290323Solution
x = {0, 0.5161290323}
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