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Simplifying 35x2 + 168 = 301x Reorder the terms: 168 + 35x2 = 301x Solving 168 + 35x2 = 301x Solving for variable 'x'. Reorder the terms: 168 + -301x + 35x2 = 301x + -301x Combine like terms: 301x + -301x = 0 168 + -301x + 35x2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(24 + -43x + 5x2) = 0 Factor a trinomial. 7((3 + -5x)(8 + -1x)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {0.6, 8}
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