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Simplifying 8x2 + -34x + 35x2 = 0 Reorder the terms: -34x + 8x2 + 35x2 = 0 Combine like terms: 8x2 + 35x2 = 43x2 -34x + 43x2 = 0 Solving -34x + 43x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-34 + 43x) = 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 '(-34 + 43x)' equal to zero and attempt to solve: Simplifying -34 + 43x = 0 Solving -34 + 43x = 0 Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 43x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 43x = 0 + 34 43x = 0 + 34 Combine like terms: 0 + 34 = 34 43x = 34 Divide each side by '43'. x = 0.7906976744 Simplifying x = 0.7906976744Solution
x = {0, 0.7906976744}
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