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Simplifying 4x2 + 80x + 300 = 1344 Reorder the terms: 300 + 80x + 4x2 = 1344 Solving 300 + 80x + 4x2 = 1344 Solving for variable 'x'. Reorder the terms: 300 + -1344 + 80x + 4x2 = 1344 + -1344 Combine like terms: 300 + -1344 = -1044 -1044 + 80x + 4x2 = 1344 + -1344 Combine like terms: 1344 + -1344 = 0 -1044 + 80x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-261 + 20x + x2) = 0 Factor a trinomial. 4((-29 + -1x)(9 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-29 + -1x)' equal to zero and attempt to solve: Simplifying -29 + -1x = 0 Solving -29 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -1x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -1x = 0 + 29 -1x = 0 + 29 Combine like terms: 0 + 29 = 29 -1x = 29 Divide each side by '-1'. x = -29 Simplifying x = -29Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-29, 9}
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