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Simplifying 6x2 + -1(11) * x = 242 Multiply -1 * 11 6x2 + -11x = 242 Reorder the terms: -11x + 6x2 = 242 Solving -11x + 6x2 = 242 Solving for variable 'x'. Reorder the terms: -242 + -11x + 6x2 = 242 + -242 Combine like terms: 242 + -242 = 0 -242 + -11x + 6x2 = 0 Factor a trinomial. (-11 + -2x)(22 + -3x) = 0Subproblem 1
Set the factor '(-11 + -2x)' equal to zero and attempt to solve: Simplifying -11 + -2x = 0 Solving -11 + -2x = 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 + -2x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = 0 + 11 -2x = 0 + 11 Combine like terms: 0 + 11 = 11 -2x = 11 Divide each side by '-2'. x = -5.5 Simplifying x = -5.5Subproblem 2
Set the factor '(22 + -3x)' equal to zero and attempt to solve: Simplifying 22 + -3x = 0 Solving 22 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -3x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -3x = 0 + -22 -3x = 0 + -22 Combine like terms: 0 + -22 = -22 -3x = -22 Divide each side by '-3'. x = 7.333333333 Simplifying x = 7.333333333Solution
x = {-5.5, 7.333333333}
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