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Simplifying 4x2 + 84x + 440 = 1224 Reorder the terms: 440 + 84x + 4x2 = 1224 Solving 440 + 84x + 4x2 = 1224 Solving for variable 'x'. Reorder the terms: 440 + -1224 + 84x + 4x2 = 1224 + -1224 Combine like terms: 440 + -1224 = -784 -784 + 84x + 4x2 = 1224 + -1224 Combine like terms: 1224 + -1224 = 0 -784 + 84x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-196 + 21x + x2) = 0 Factor a trinomial. 4((-28 + -1x)(7 + -1x)) = 0 Ignore the factor 4.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 '(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 = {-28, 7}
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