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Simplifying (2x2 + 3x + -6) + -1(-6x + 5) = 0 Reorder the terms: (-6 + 3x + 2x2) + -1(-6x + 5) = 0 Remove parenthesis around (-6 + 3x + 2x2) -6 + 3x + 2x2 + -1(-6x + 5) = 0 Reorder the terms: -6 + 3x + 2x2 + -1(5 + -6x) = 0 -6 + 3x + 2x2 + (5 * -1 + -6x * -1) = 0 -6 + 3x + 2x2 + (-5 + 6x) = 0 Reorder the terms: -6 + -5 + 3x + 6x + 2x2 = 0 Combine like terms: -6 + -5 = -11 -11 + 3x + 6x + 2x2 = 0 Combine like terms: 3x + 6x = 9x -11 + 9x + 2x2 = 0 Solving -11 + 9x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-11 + -2x)(1 + -1x) = 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 '(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 = {-5.5, 1}
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