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Simplifying 16x2 + -250x + 900 = 0 Reorder the terms: 900 + -250x + 16x2 = 0 Solving 900 + -250x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(450 + -125x + 8x2) = 0 Factor a trinomial. 2((45 + -8x)(10 + -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 '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {5.625, 10}
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