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Simplifying 10x2 + -11 = 5x2 + 6x Reorder the terms: -11 + 10x2 = 5x2 + 6x Reorder the terms: -11 + 10x2 = 6x + 5x2 Solving -11 + 10x2 = 6x + 5x2 Solving for variable 'x'. Reorder the terms: -11 + -6x + 10x2 + -5x2 = 6x + 5x2 + -6x + -5x2 Combine like terms: 10x2 + -5x2 = 5x2 -11 + -6x + 5x2 = 6x + 5x2 + -6x + -5x2 Reorder the terms: -11 + -6x + 5x2 = 6x + -6x + 5x2 + -5x2 Combine like terms: 6x + -6x = 0 -11 + -6x + 5x2 = 0 + 5x2 + -5x2 -11 + -6x + 5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -11 + -6x + 5x2 = 0 Factor a trinomial. (-1 + -1x)(11 + -5x) = 0Subproblem 1
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 = -1Subproblem 2
Set the factor '(11 + -5x)' equal to zero and attempt to solve: Simplifying 11 + -5x = 0 Solving 11 + -5x = 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 + -5x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -5x = 0 + -11 -5x = 0 + -11 Combine like terms: 0 + -11 = -11 -5x = -11 Divide each side by '-5'. x = 2.2 Simplifying x = 2.2Solution
x = {-1, 2.2}
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