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Simplifying 3x(x + 2) + -1x + 4 = x + 11 Reorder the terms: 3x(2 + x) + -1x + 4 = x + 11 (2 * 3x + x * 3x) + -1x + 4 = x + 11 (6x + 3x2) + -1x + 4 = x + 11 Reorder the terms: 4 + 6x + -1x + 3x2 = x + 11 Combine like terms: 6x + -1x = 5x 4 + 5x + 3x2 = x + 11 Reorder the terms: 4 + 5x + 3x2 = 11 + x Solving 4 + 5x + 3x2 = 11 + x Solving for variable 'x'. Reorder the terms: 4 + -11 + 5x + -1x + 3x2 = 11 + x + -11 + -1x Combine like terms: 4 + -11 = -7 -7 + 5x + -1x + 3x2 = 11 + x + -11 + -1x Combine like terms: 5x + -1x = 4x -7 + 4x + 3x2 = 11 + x + -11 + -1x Reorder the terms: -7 + 4x + 3x2 = 11 + -11 + x + -1x Combine like terms: 11 + -11 = 0 -7 + 4x + 3x2 = 0 + x + -1x -7 + 4x + 3x2 = x + -1x Combine like terms: x + -1x = 0 -7 + 4x + 3x2 = 0 Factor a trinomial. (-7 + -3x)(1 + -1x) = 0Subproblem 1
Set the factor '(-7 + -3x)' equal to zero and attempt to solve: Simplifying -7 + -3x = 0 Solving -7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 0 + 7 -3x = 0 + 7 Combine like terms: 0 + 7 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333Subproblem 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 = {-2.333333333, 1}
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