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Simplifying 2x2 + 14x + -1176 = 0 Reorder the terms: -1176 + 14x + 2x2 = 0 Solving -1176 + 14x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-588 + 7x + x2) = 0 Factor a trinomial. 2((-28 + -1x)(21 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-28 + -1x)' equal to zero and attempt to solve: Simplifying -28 + -1x = 0 Solving -28 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -1x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -1x = 0 + 28 -1x = 0 + 28 Combine like terms: 0 + 28 = 28 -1x = 28 Divide each side by '-1'. x = -28 Simplifying x = -28Subproblem 2
Set the factor '(21 + -1x)' equal to zero and attempt to solve: Simplifying 21 + -1x = 0 Solving 21 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 0 + -21 -1x = 0 + -21 Combine like terms: 0 + -21 = -21 -1x = -21 Divide each side by '-1'. x = 21 Simplifying x = 21Solution
x = {-28, 21}
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