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Simplifying 6x2 + -3x = 5x2 + -10x Reorder the terms: -3x + 6x2 = 5x2 + -10x Reorder the terms: -3x + 6x2 = -10x + 5x2 Solving -3x + 6x2 = -10x + 5x2 Solving for variable 'x'. Reorder the terms: -3x + 10x + 6x2 + -5x2 = -10x + 5x2 + 10x + -5x2 Combine like terms: -3x + 10x = 7x 7x + 6x2 + -5x2 = -10x + 5x2 + 10x + -5x2 Combine like terms: 6x2 + -5x2 = 1x2 7x + 1x2 = -10x + 5x2 + 10x + -5x2 Reorder the terms: 7x + 1x2 = -10x + 10x + 5x2 + -5x2 Combine like terms: -10x + 10x = 0 7x + 1x2 = 0 + 5x2 + -5x2 7x + 1x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 7x + 1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(7 + x) = 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 '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {0, -7}
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