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Simplifying 10x2 + 12x + -208 = 0 Reorder the terms: -208 + 12x + 10x2 = 0 Solving -208 + 12x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-104 + 6x + 5x2) = 0 Factor a trinomial. 2((-26 + -5x)(4 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-26 + -5x)' equal to zero and attempt to solve: Simplifying -26 + -5x = 0 Solving -26 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -5x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + -5x = 0 + 26 -5x = 0 + 26 Combine like terms: 0 + 26 = 26 -5x = 26 Divide each side by '-5'. x = -5.2 Simplifying x = -5.2Subproblem 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 = {-5.2, 4}
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