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Simplifying x2 + -11x = -4 + -6x2 Reorder the terms: -11x + x2 = -4 + -6x2 Solving -11x + x2 = -4 + -6x2 Solving for variable 'x'. Reorder the terms: 4 + -11x + x2 + 6x2 = -4 + -6x2 + 4 + 6x2 Combine like terms: x2 + 6x2 = 7x2 4 + -11x + 7x2 = -4 + -6x2 + 4 + 6x2 Reorder the terms: 4 + -11x + 7x2 = -4 + 4 + -6x2 + 6x2 Combine like terms: -4 + 4 = 0 4 + -11x + 7x2 = 0 + -6x2 + 6x2 4 + -11x + 7x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 4 + -11x + 7x2 = 0 Factor a trinomial. (4 + -7x)(1 + -1x) = 0Subproblem 1
Set the factor '(4 + -7x)' equal to zero and attempt to solve: Simplifying 4 + -7x = 0 Solving 4 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 0 + -4 -7x = 0 + -4 Combine like terms: 0 + -4 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0.5714285714, 1}
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