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Simplifying 8x2 + -34x3 + 9x2 + 10x3 = 0 Reorder the terms: 8x2 + 9x2 + -34x3 + 10x3 = 0 Combine like terms: 8x2 + 9x2 = 17x2 17x2 + -34x3 + 10x3 = 0 Combine like terms: -34x3 + 10x3 = -24x3 17x2 + -24x3 = 0 Solving 17x2 + -24x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(17 + -24x) = 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 '(17 + -24x)' equal to zero and attempt to solve: Simplifying 17 + -24x = 0 Solving 17 + -24x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -24x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -24x = 0 + -17 -24x = 0 + -17 Combine like terms: 0 + -17 = -17 -24x = -17 Divide each side by '-24'. x = 0.7083333333 Simplifying x = 0.7083333333Solution
x = {0, 0.7083333333}
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