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Simplifying 286 = x(21x + -1) Reorder the terms: 286 = x(-1 + 21x) 286 = (-1 * x + 21x * x) 286 = (-1x + 21x2) Solving 286 = -1x + 21x2 Solving for variable 'x'. Reorder the terms: 286 + x + -21x2 = -1x + x + 21x2 + -21x2 Combine like terms: -1x + x = 0 286 + x + -21x2 = 0 + 21x2 + -21x2 286 + x + -21x2 = 21x2 + -21x2 Combine like terms: 21x2 + -21x2 = 0 286 + x + -21x2 = 0 Factor a trinomial. (26 + -7x)(11 + 3x) = 0Subproblem 1
Set the factor '(26 + -7x)' equal to zero and attempt to solve: Simplifying 26 + -7x = 0 Solving 26 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -7x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -7x = 0 + -26 -7x = 0 + -26 Combine like terms: 0 + -26 = -26 -7x = -26 Divide each side by '-7'. x = 3.714285714 Simplifying x = 3.714285714Subproblem 2
Set the factor '(11 + 3x)' equal to zero and attempt to solve: Simplifying 11 + 3x = 0 Solving 11 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 3x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 3x = 0 + -11 3x = 0 + -11 Combine like terms: 0 + -11 = -11 3x = -11 Divide each side by '3'. x = -3.666666667 Simplifying x = -3.666666667Solution
x = {3.714285714, -3.666666667}
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