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Simplifying 4x2 + 60x + -175 = 0 Reorder the terms: -175 + 60x + 4x2 = 0 Solving -175 + 60x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-35 + -2x)(5 + -2x) = 0Subproblem 1
Set the factor '(-35 + -2x)' equal to zero and attempt to solve: Simplifying -35 + -2x = 0 Solving -35 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -2x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -2x = 0 + 35 -2x = 0 + 35 Combine like terms: 0 + 35 = 35 -2x = 35 Divide each side by '-2'. x = -17.5 Simplifying x = -17.5Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {-17.5, 2.5}
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