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Simplifying 4x2 + -450x + 2150 = 0 Reorder the terms: 2150 + -450x + 4x2 = 0 Solving 2150 + -450x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(1075 + -225x + 2x2) = 0 Factor a trinomial. 2((5 + -1x)(215 + -2x)) = 0 Ignore the factor 2.Subproblem 1
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 = 5Subproblem 2
Set the factor '(215 + -2x)' equal to zero and attempt to solve: Simplifying 215 + -2x = 0 Solving 215 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-215' to each side of the equation. 215 + -215 + -2x = 0 + -215 Combine like terms: 215 + -215 = 0 0 + -2x = 0 + -215 -2x = 0 + -215 Combine like terms: 0 + -215 = -215 -2x = -215 Divide each side by '-2'. x = 107.5 Simplifying x = 107.5Solution
x = {5, 107.5}
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