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Simplifying 5x2 + -84x + -441 = 0 Reorder the terms: -441 + -84x + 5x2 = 0 Solving -441 + -84x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-21 + -5x)(21 + -1x) = 0Subproblem 1
Set the factor '(-21 + -5x)' equal to zero and attempt to solve: Simplifying -21 + -5x = 0 Solving -21 + -5x = 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 + -5x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -5x = 0 + 21 -5x = 0 + 21 Combine like terms: 0 + 21 = 21 -5x = 21 Divide each side by '-5'. x = -4.2 Simplifying x = -4.2Subproblem 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 = {-4.2, 21}
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