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Simplifying 8x2 + 9x = 7x2 + 8x Reorder the terms: 9x + 8x2 = 7x2 + 8x Reorder the terms: 9x + 8x2 = 8x + 7x2 Solving 9x + 8x2 = 8x + 7x2 Solving for variable 'x'. Reorder the terms: 9x + -8x + 8x2 + -7x2 = 8x + 7x2 + -8x + -7x2 Combine like terms: 9x + -8x = 1x 1x + 8x2 + -7x2 = 8x + 7x2 + -8x + -7x2 Combine like terms: 8x2 + -7x2 = 1x2 1x + 1x2 = 8x + 7x2 + -8x + -7x2 Reorder the terms: 1x + 1x2 = 8x + -8x + 7x2 + -7x2 Combine like terms: 8x + -8x = 0 1x + 1x2 = 0 + 7x2 + -7x2 1x + 1x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 1x + 1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + 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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {0, -1}
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