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Simplifying x2 + 3x + -4 = 3x2 + -6x Reorder the terms: -4 + 3x + x2 = 3x2 + -6x Reorder the terms: -4 + 3x + x2 = -6x + 3x2 Solving -4 + 3x + x2 = -6x + 3x2 Solving for variable 'x'. Reorder the terms: -4 + 3x + 6x + x2 + -3x2 = -6x + 3x2 + 6x + -3x2 Combine like terms: 3x + 6x = 9x -4 + 9x + x2 + -3x2 = -6x + 3x2 + 6x + -3x2 Combine like terms: x2 + -3x2 = -2x2 -4 + 9x + -2x2 = -6x + 3x2 + 6x + -3x2 Reorder the terms: -4 + 9x + -2x2 = -6x + 6x + 3x2 + -3x2 Combine like terms: -6x + 6x = 0 -4 + 9x + -2x2 = 0 + 3x2 + -3x2 -4 + 9x + -2x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -4 + 9x + -2x2 = 0 Factor a trinomial. (-4 + x)(1 + -2x) = 0Subproblem 1
Set the factor '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {4, 0.5}
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