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Simplifying x2 + 8x + 16 + -1(5x + 20) = 0 Reorder the terms: x2 + 8x + 16 + -1(20 + 5x) = 0 x2 + 8x + 16 + (20 * -1 + 5x * -1) = 0 x2 + 8x + 16 + (-20 + -5x) = 0 Reorder the terms: 16 + -20 + 8x + -5x + x2 = 0 Combine like terms: 16 + -20 = -4 -4 + 8x + -5x + x2 = 0 Combine like terms: 8x + -5x = 3x -4 + 3x + x2 = 0 Solving -4 + 3x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1x)(1 + -1x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 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 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 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 = {-4, 1}
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