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Simplifying 4x2 + 130x + -2850 = 0 Reorder the terms: -2850 + 130x + 4x2 = 0 Solving -2850 + 130x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-1425 + 65x + 2x2) = 0 Factor a trinomial. 2((-95 + -2x)(15 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-95 + -2x)' equal to zero and attempt to solve: Simplifying -95 + -2x = 0 Solving -95 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '95' to each side of the equation. -95 + 95 + -2x = 0 + 95 Combine like terms: -95 + 95 = 0 0 + -2x = 0 + 95 -2x = 0 + 95 Combine like terms: 0 + 95 = 95 -2x = 95 Divide each side by '-2'. x = -47.5 Simplifying x = -47.5Subproblem 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 = {-47.5, 15}
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