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Simplifying 5x2 + 60 = 35x Reorder the terms: 60 + 5x2 = 35x Solving 60 + 5x2 = 35x Solving for variable 'x'. Reorder the terms: 60 + -35x + 5x2 = 35x + -35x Combine like terms: 35x + -35x = 0 60 + -35x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(12 + -7x + x2) = 0 Factor a trinomial. 5((3 + -1x)(4 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {3, 4}
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