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Simplifying 28X2 + 13X + -6 = 0 Reorder the terms: -6 + 13X + 28X2 = 0 Solving -6 + 13X + 28X2 = 0 Solving for variable 'X'. Factor a trinomial. (-3 + -4X)(2 + -7X) = 0Subproblem 1
Set the factor '(-3 + -4X)' equal to zero and attempt to solve: Simplifying -3 + -4X = 0 Solving -3 + -4X = 0 Move all terms containing X to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4X = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4X = 0 + 3 -4X = 0 + 3 Combine like terms: 0 + 3 = 3 -4X = 3 Divide each side by '-4'. X = -0.75 Simplifying X = -0.75Subproblem 2
Set the factor '(2 + -7X)' equal to zero and attempt to solve: Simplifying 2 + -7X = 0 Solving 2 + -7X = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7X = 0 + -2 -7X = 0 + -2 Combine like terms: 0 + -2 = -2 -7X = -2 Divide each side by '-7'. X = 0.2857142857 Simplifying X = 0.2857142857Solution
X = {-0.75, 0.2857142857}
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