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Simplifying (5x2 + -4x + -1) + -1(4x2 + -4) = 0 Reorder the terms: (-1 + -4x + 5x2) + -1(4x2 + -4) = 0 Remove parenthesis around (-1 + -4x + 5x2) -1 + -4x + 5x2 + -1(4x2 + -4) = 0 Reorder the terms: -1 + -4x + 5x2 + -1(-4 + 4x2) = 0 -1 + -4x + 5x2 + (-4 * -1 + 4x2 * -1) = 0 -1 + -4x + 5x2 + (4 + -4x2) = 0 Reorder the terms: -1 + 4 + -4x + 5x2 + -4x2 = 0 Combine like terms: -1 + 4 = 3 3 + -4x + 5x2 + -4x2 = 0 Combine like terms: 5x2 + -4x2 = 1x2 3 + -4x + 1x2 = 0 Solving 3 + -4x + 1x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -1x)(3 + -1x) = 0Subproblem 1
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 = 1Subproblem 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 = {1, 3}
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