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Simplifying 5(x * x + -1) = 4(x + -1) Multiply x * x 5(x2 + -1) = 4(x + -1) Reorder the terms: 5(-1 + x2) = 4(x + -1) (-1 * 5 + x2 * 5) = 4(x + -1) (-5 + 5x2) = 4(x + -1) Reorder the terms: -5 + 5x2 = 4(-1 + x) -5 + 5x2 = (-1 * 4 + x * 4) -5 + 5x2 = (-4 + 4x) Solving -5 + 5x2 = -4 + 4x Solving for variable 'x'. Reorder the terms: -5 + 4 + -4x + 5x2 = -4 + 4x + 4 + -4x Combine like terms: -5 + 4 = -1 -1 + -4x + 5x2 = -4 + 4x + 4 + -4x Reorder the terms: -1 + -4x + 5x2 = -4 + 4 + 4x + -4x Combine like terms: -4 + 4 = 0 -1 + -4x + 5x2 = 0 + 4x + -4x -1 + -4x + 5x2 = 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -4x + 5x2 = 0 Factor a trinomial. (-1 + -5x)(1 + -1x) = 0Subproblem 1
Set the factor '(-1 + -5x)' equal to zero and attempt to solve: Simplifying -1 + -5x = 0 Solving -1 + -5x = 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 + -5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 0 + 1 -5x = 0 + 1 Combine like terms: 0 + 1 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2Subproblem 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 = {-0.2, 1}
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