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Simplifying 28X2 + -29X + -9 = 0 Reorder the terms: -9 + -29X + 28X2 = 0 Solving -9 + -29X + 28X2 = 0 Solving for variable 'X'. Factor a trinomial. (-1 + -4X)(9 + -7X) = 0Subproblem 1
Set the factor '(-1 + -4X)' equal to zero and attempt to solve: Simplifying -1 + -4X = 0 Solving -1 + -4X = 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 + -4X = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4X = 0 + 1 -4X = 0 + 1 Combine like terms: 0 + 1 = 1 -4X = 1 Divide each side by '-4'. X = -0.25 Simplifying X = -0.25Subproblem 2
Set the factor '(9 + -7X)' equal to zero and attempt to solve: Simplifying 9 + -7X = 0 Solving 9 + -7X = 0 Move all terms containing X to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7X = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7X = 0 + -9 -7X = 0 + -9 Combine like terms: 0 + -9 = -9 -7X = -9 Divide each side by '-7'. X = 1.285714286 Simplifying X = 1.285714286Solution
X = {-0.25, 1.285714286}
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