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Simplifying 4x2 + 6x + -1558 = 0 Reorder the terms: -1558 + 6x + 4x2 = 0 Solving -1558 + 6x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-779 + 3x + 2x2) = 0 Factor a trinomial. 2((-41 + -2x)(19 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-41 + -2x)' equal to zero and attempt to solve: Simplifying -41 + -2x = 0 Solving -41 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + -2x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + -2x = 0 + 41 -2x = 0 + 41 Combine like terms: 0 + 41 = 41 -2x = 41 Divide each side by '-2'. x = -20.5 Simplifying x = -20.5Subproblem 2
Set the factor '(19 + -1x)' equal to zero and attempt to solve: Simplifying 19 + -1x = 0 Solving 19 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1x = 0 + -19 -1x = 0 + -19 Combine like terms: 0 + -19 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19Solution
x = {-20.5, 19}
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