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Simplifying 7x2 + 6x = 2x2 + -8x Reorder the terms: 6x + 7x2 = 2x2 + -8x Reorder the terms: 6x + 7x2 = -8x + 2x2 Solving 6x + 7x2 = -8x + 2x2 Solving for variable 'x'. Reorder the terms: 6x + 8x + 7x2 + -2x2 = -8x + 2x2 + 8x + -2x2 Combine like terms: 6x + 8x = 14x 14x + 7x2 + -2x2 = -8x + 2x2 + 8x + -2x2 Combine like terms: 7x2 + -2x2 = 5x2 14x + 5x2 = -8x + 2x2 + 8x + -2x2 Reorder the terms: 14x + 5x2 = -8x + 8x + 2x2 + -2x2 Combine like terms: -8x + 8x = 0 14x + 5x2 = 0 + 2x2 + -2x2 14x + 5x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 14x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(14 + 5x) = 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 '(14 + 5x)' equal to zero and attempt to solve: Simplifying 14 + 5x = 0 Solving 14 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 5x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 5x = 0 + -14 5x = 0 + -14 Combine like terms: 0 + -14 = -14 5x = -14 Divide each side by '5'. x = -2.8 Simplifying x = -2.8Solution
x = {0, -2.8}
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