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Simplifying 3x2 + -6 = 2x2 + 4x + -10 Reorder the terms: -6 + 3x2 = 2x2 + 4x + -10 Reorder the terms: -6 + 3x2 = -10 + 4x + 2x2 Solving -6 + 3x2 = -10 + 4x + 2x2 Solving for variable 'x'. Reorder the terms: -6 + 10 + -4x + 3x2 + -2x2 = -10 + 4x + 2x2 + 10 + -4x + -2x2 Combine like terms: -6 + 10 = 4 4 + -4x + 3x2 + -2x2 = -10 + 4x + 2x2 + 10 + -4x + -2x2 Combine like terms: 3x2 + -2x2 = 1x2 4 + -4x + 1x2 = -10 + 4x + 2x2 + 10 + -4x + -2x2 Reorder the terms: 4 + -4x + 1x2 = -10 + 10 + 4x + -4x + 2x2 + -2x2 Combine like terms: -10 + 10 = 0 4 + -4x + 1x2 = 0 + 4x + -4x + 2x2 + -2x2 4 + -4x + 1x2 = 4x + -4x + 2x2 + -2x2 Combine like terms: 4x + -4x = 0 4 + -4x + 1x2 = 0 + 2x2 + -2x2 4 + -4x + 1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 4 + -4x + 1x2 = 0 Factor a trinomial. (2 + -1x)(2 + -1x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {2, 2}
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