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Simplifying 15x2 + 2 + -6x + -4x2 + -7x = 0 Reorder the terms: 2 + -6x + -7x + 15x2 + -4x2 = 0 Combine like terms: -6x + -7x = -13x 2 + -13x + 15x2 + -4x2 = 0 Combine like terms: 15x2 + -4x2 = 11x2 2 + -13x + 11x2 = 0 Solving 2 + -13x + 11x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -11x)(1 + -1x) = 0Subproblem 1
Set the factor '(2 + -11x)' equal to zero and attempt to solve: Simplifying 2 + -11x = 0 Solving 2 + -11x = 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 + -11x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -11x = 0 + -2 -11x = 0 + -2 Combine like terms: 0 + -2 = -2 -11x = -2 Divide each side by '-11'. x = 0.1818181818 Simplifying x = 0.1818181818Subproblem 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 = {0.1818181818, 1}
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