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Simplifying 8X2 + 10X + -7 = 0 Reorder the terms: -7 + 10X + 8X2 = 0 Solving -7 + 10X + 8X2 = 0 Solving for variable 'X'. Factor a trinomial. (-7 + -4X)(1 + -2X) = 0Subproblem 1
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 = -1.75Subproblem 2
Set the factor '(1 + -2X)' equal to zero and attempt to solve: Simplifying 1 + -2X = 0 Solving 1 + -2X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2X = 0 + -1 -2X = 0 + -1 Combine like terms: 0 + -1 = -1 -2X = -1 Divide each side by '-2'. X = 0.5 Simplifying X = 0.5Solution
X = {-1.75, 0.5}
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