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Simplifying 8x2 + -9x3 = x2 Solving 8x2 + -9x3 = x2 Solving for variable 'x'. Reorder the terms: 8x2 + -1x2 + -9x3 = x2 + -1x2 Combine like terms: 8x2 + -1x2 = 7x2 7x2 + -9x3 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 7x2 + -9x3 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(7 + -9x) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(7 + -9x)' equal to zero and attempt to solve: Simplifying 7 + -9x = 0 Solving 7 + -9x = 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 + -9x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = 0 + -7 -9x = 0 + -7 Combine like terms: 0 + -7 = -7 -9x = -7 Divide each side by '-9'. x = 0.7777777778 Simplifying x = 0.7777777778Solution
x = {0, 0.7777777778}
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