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Simplifying x(3x + -4) + 6 = 2x(x + 1) + -3 Reorder the terms: x(-4 + 3x) + 6 = 2x(x + 1) + -3 (-4 * x + 3x * x) + 6 = 2x(x + 1) + -3 (-4x + 3x2) + 6 = 2x(x + 1) + -3 Reorder the terms: 6 + -4x + 3x2 = 2x(x + 1) + -3 Reorder the terms: 6 + -4x + 3x2 = 2x(1 + x) + -3 6 + -4x + 3x2 = (1 * 2x + x * 2x) + -3 6 + -4x + 3x2 = (2x + 2x2) + -3 Reorder the terms: 6 + -4x + 3x2 = -3 + 2x + 2x2 Solving 6 + -4x + 3x2 = -3 + 2x + 2x2 Solving for variable 'x'. Reorder the terms: 6 + 3 + -4x + -2x + 3x2 + -2x2 = -3 + 2x + 2x2 + 3 + -2x + -2x2 Combine like terms: 6 + 3 = 9 9 + -4x + -2x + 3x2 + -2x2 = -3 + 2x + 2x2 + 3 + -2x + -2x2 Combine like terms: -4x + -2x = -6x 9 + -6x + 3x2 + -2x2 = -3 + 2x + 2x2 + 3 + -2x + -2x2 Combine like terms: 3x2 + -2x2 = 1x2 9 + -6x + 1x2 = -3 + 2x + 2x2 + 3 + -2x + -2x2 Reorder the terms: 9 + -6x + 1x2 = -3 + 3 + 2x + -2x + 2x2 + -2x2 Combine like terms: -3 + 3 = 0 9 + -6x + 1x2 = 0 + 2x + -2x + 2x2 + -2x2 9 + -6x + 1x2 = 2x + -2x + 2x2 + -2x2 Combine like terms: 2x + -2x = 0 9 + -6x + 1x2 = 0 + 2x2 + -2x2 9 + -6x + 1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 9 + -6x + 1x2 = 0 Factor a trinomial. (3 + -1x)(3 + -1x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {3, 3}
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