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Simplifying 4x2 + 2x = 90 Reorder the terms: 2x + 4x2 = 90 Solving 2x + 4x2 = 90 Solving for variable 'x'. Reorder the terms: -90 + 2x + 4x2 = 90 + -90 Combine like terms: 90 + -90 = 0 -90 + 2x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-45 + x + 2x2) = 0 Factor a trinomial. 2((-5 + -1x)(9 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5Subproblem 2
Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Solution
x = {-5, 4.5}
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