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Simplifying 8x2 + -24x3 + 18x2 = 0 Reorder the terms: 8x2 + 18x2 + -24x3 = 0 Combine like terms: 8x2 + 18x2 = 26x2 26x2 + -24x3 = 0 Solving 26x2 + -24x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(13 + -12x) = 0 Ignore the factor 2.Subproblem 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 '(13 + -12x)' equal to zero and attempt to solve: Simplifying 13 + -12x = 0 Solving 13 + -12x = 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 + -12x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -12x = 0 + -13 -12x = 0 + -13 Combine like terms: 0 + -13 = -13 -12x = -13 Divide each side by '-12'. x = 1.083333333 Simplifying x = 1.083333333Solution
x = {0, 1.083333333}
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