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Simplifying 35x2 + -224x + 126 = 7x Reorder the terms: 126 + -224x + 35x2 = 7x Solving 126 + -224x + 35x2 = 7x Solving for variable 'x'. Reorder the terms: 126 + -224x + -7x + 35x2 = 7x + -7x Combine like terms: -224x + -7x = -231x 126 + -231x + 35x2 = 7x + -7x Combine like terms: 7x + -7x = 0 126 + -231x + 35x2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(18 + -33x + 5x2) = 0 Factor a trinomial. 7((3 + -5x)(6 + -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 '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {0.6, 6}
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