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Simplifying (X2 + 7x + -18 + 4x + -8) * x = 0 Reorder the terms: (-18 + -8 + X2 + 7x + 4x) * x = 0 Combine like terms: -18 + -8 = -26 (-26 + X2 + 7x + 4x) * x = 0 Combine like terms: 7x + 4x = 11x (-26 + X2 + 11x) * x = 0 Reorder the terms for easier multiplication: x(-26 + X2 + 11x) = 0 (-26 * x + X2 * x + 11x * x) = 0 (-26x + xX2 + 11x2) = 0 Solving -26x + xX2 + 11x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-26 + X2 + 11x) = 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 '(-26 + X2 + 11x)' equal to zero and attempt to solve: Simplifying -26 + X2 + 11x = 0 Solving -26 + X2 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + X2 + 26 + 11x = 0 + 26 Reorder the terms: -26 + 26 + X2 + 11x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + X2 + 11x = 0 + 26 X2 + 11x = 0 + 26 Combine like terms: 0 + 26 = 26 X2 + 11x = 26 Add '-1X2' to each side of the equation. X2 + -1X2 + 11x = 26 + -1X2 Combine like terms: X2 + -1X2 = 0 0 + 11x = 26 + -1X2 11x = 26 + -1X2 Divide each side by '11'. x = 2.363636364 + -0.09090909091X2 Simplifying x = 2.363636364 + -0.09090909091X2Solution
x = {0, 2.363636364 + -0.09090909091X2}
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