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Simplifying 160x + 4x2 + -3300 = 0 Reorder the terms: -3300 + 160x + 4x2 = 0 Solving -3300 + 160x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-825 + 40x + x2) = 0 Factor a trinomial. 4((-55 + -1x)(15 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-55 + -1x)' equal to zero and attempt to solve: Simplifying -55 + -1x = 0 Solving -55 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + -1x = 0 + 55 Combine like terms: -55 + 55 = 0 0 + -1x = 0 + 55 -1x = 0 + 55 Combine like terms: 0 + 55 = 55 -1x = 55 Divide each side by '-1'. x = -55 Simplifying x = -55Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {-55, 15}
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