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Simplifying 50x2 + -98x + -7176 = 0 Reorder the terms: -7176 + -98x + 50x2 = 0 Solving -7176 + -98x + 50x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-3588 + -49x + 25x2) = 0 Factor a trinomial. 2((-276 + -25x)(13 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-276 + -25x)' equal to zero and attempt to solve: Simplifying -276 + -25x = 0 Solving -276 + -25x = 0 Move all terms containing x to the left, all other terms to the right. Add '276' to each side of the equation. -276 + 276 + -25x = 0 + 276 Combine like terms: -276 + 276 = 0 0 + -25x = 0 + 276 -25x = 0 + 276 Combine like terms: 0 + 276 = 276 -25x = 276 Divide each side by '-25'. x = -11.04 Simplifying x = -11.04Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Solution
x = {-11.04, 13}
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