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Simplifying 2x3 + -17x = 9x Reorder the terms: -17x + 2x3 = 9x Solving -17x + 2x3 = 9x Solving for variable 'x'. Reorder the terms: -17x + -9x + 2x3 = 9x + -9x Combine like terms: -17x + -9x = -26x -26x + 2x3 = 9x + -9x Combine like terms: 9x + -9x = 0 -26x + 2x3 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-13 + x2) = 0 Ignore the factor 2.Subproblem 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 '(-13 + x2)' equal to zero and attempt to solve: Simplifying -13 + x2 = 0 Solving -13 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + x2 = 0 + 13 Combine like terms: -13 + 13 = 0 0 + x2 = 0 + 13 x2 = 0 + 13 Combine like terms: 0 + 13 = 13 x2 = 13 Simplifying x2 = 13 Take the square root of each side: x = {-3.605551275, 3.605551275}Solution
x = {0, -3.605551275, 3.605551275}
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