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Simplifying x3 + 7x2 = 9x2 Reorder the terms: 7x2 + x3 = 9x2 Solving 7x2 + x3 = 9x2 Solving for variable 'x'. Reorder the terms: 7x2 + -9x2 + x3 = 9x2 + -9x2 Combine like terms: 7x2 + -9x2 = -2x2 -2x2 + x3 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -2x2 + x3 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(-2 + x) = 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 '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Solution
x = {0, 2}
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