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Simplifying 4x2 + 21x + -343 = 0 Reorder the terms: -343 + 21x + 4x2 = 0 Solving -343 + 21x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-49 + -4x)(7 + -1x) = 0Subproblem 1
Set the factor '(-49 + -4x)' equal to zero and attempt to solve: Simplifying -49 + -4x = 0 Solving -49 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + -4x = 0 + 49 Combine like terms: -49 + 49 = 0 0 + -4x = 0 + 49 -4x = 0 + 49 Combine like terms: 0 + 49 = 49 -4x = 49 Divide each side by '-4'. x = -12.25 Simplifying x = -12.25Subproblem 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 = {-12.25, 7}
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