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Simplifying 4x2 + 50x + -546 = 0 Reorder the terms: -546 + 50x + 4x2 = 0 Solving -546 + 50x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-273 + 25x + 2x2) = 0 Factor a trinomial. 2((-39 + -2x)(7 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-39 + -2x)' equal to zero and attempt to solve: Simplifying -39 + -2x = 0 Solving -39 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -2x = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -2x = 0 + 39 -2x = 0 + 39 Combine like terms: 0 + 39 = 39 -2x = 39 Divide each side by '-2'. x = -19.5 Simplifying x = -19.5Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-19.5, 7}
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