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Simplifying 16x2 + 10x + -450 = 0 Reorder the terms: -450 + 10x + 16x2 = 0 Solving -450 + 10x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-225 + 5x + 8x2) = 0 Factor a trinomial. 2((-45 + -8x)(5 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-45 + -8x)' equal to zero and attempt to solve: Simplifying -45 + -8x = 0 Solving -45 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -8x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -8x = 0 + 45 -8x = 0 + 45 Combine like terms: 0 + 45 = 45 -8x = 45 Divide each side by '-8'. x = -5.625 Simplifying x = -5.625Subproblem 2
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 = 5Solution
x = {-5.625, 5}
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