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Simplifying 36x + 4x2 = 208 Solving 36x + 4x2 = 208 Solving for variable 'x'. Reorder the terms: -208 + 36x + 4x2 = 208 + -208 Combine like terms: 208 + -208 = 0 -208 + 36x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-52 + 9x + x2) = 0 Factor a trinomial. 4((-13 + -1x)(4 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve: Simplifying -13 + -1x = 0 Solving -13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 0 + 13 -1x = 0 + 13 Combine like terms: 0 + 13 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13Subproblem 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 = {-13, 4}
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