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Simplifying 6x2 + 35x = 2x2 + -16x Reorder the terms: 35x + 6x2 = 2x2 + -16x Reorder the terms: 35x + 6x2 = -16x + 2x2 Solving 35x + 6x2 = -16x + 2x2 Solving for variable 'x'. Reorder the terms: 35x + 16x + 6x2 + -2x2 = -16x + 2x2 + 16x + -2x2 Combine like terms: 35x + 16x = 51x 51x + 6x2 + -2x2 = -16x + 2x2 + 16x + -2x2 Combine like terms: 6x2 + -2x2 = 4x2 51x + 4x2 = -16x + 2x2 + 16x + -2x2 Reorder the terms: 51x + 4x2 = -16x + 16x + 2x2 + -2x2 Combine like terms: -16x + 16x = 0 51x + 4x2 = 0 + 2x2 + -2x2 51x + 4x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 51x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(51 + 4x) = 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 '(51 + 4x)' equal to zero and attempt to solve: Simplifying 51 + 4x = 0 Solving 51 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 4x = 0 + -51 Combine like terms: 51 + -51 = 0 0 + 4x = 0 + -51 4x = 0 + -51 Combine like terms: 0 + -51 = -51 4x = -51 Divide each side by '4'. x = -12.75 Simplifying x = -12.75Solution
x = {0, -12.75}
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