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Simplifying 8X2 + 14X + -49 = 0 Reorder the terms: -49 + 14X + 8X2 = 0 Solving -49 + 14X + 8X2 = 0 Solving for variable 'X'. Factor a trinomial. (-7 + -2X)(7 + -4X) = 0Subproblem 1
Set the factor '(-7 + -2X)' equal to zero and attempt to solve: Simplifying -7 + -2X = 0 Solving -7 + -2X = 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 + -2X = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2X = 0 + 7 -2X = 0 + 7 Combine like terms: 0 + 7 = 7 -2X = 7 Divide each side by '-2'. X = -3.5 Simplifying X = -3.5Subproblem 2
Set the factor '(7 + -4X)' equal to zero and attempt to solve: Simplifying 7 + -4X = 0 Solving 7 + -4X = 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 + -4X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4X = 0 + -7 -4X = 0 + -7 Combine like terms: 0 + -7 = -7 -4X = -7 Divide each side by '-4'. X = 1.75 Simplifying X = 1.75Solution
X = {-3.5, 1.75}
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