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Simplifying 4x2 + -15x + -784 = 0 Reorder the terms: -784 + -15x + 4x2 = 0 Solving -784 + -15x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-49 + -4x)(16 + -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 '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Solution
x = {-12.25, 16}
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