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Simplifying 7x + -2x(x + -3) = 11 Reorder the terms: 7x + -2x(-3 + x) = 11 7x + (-3 * -2x + x * -2x) = 11 7x + (6x + -2x2) = 11 Combine like terms: 7x + 6x = 13x 13x + -2x2 = 11 Solving 13x + -2x2 = 11 Solving for variable 'x'. Reorder the terms: -11 + 13x + -2x2 = 11 + -11 Combine like terms: 11 + -11 = 0 -11 + 13x + -2x2 = 0 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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