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Simplifying (10x + -4)(x + 1) = 0 Reorder the terms: (-4 + 10x)(x + 1) = 0 Reorder the terms: (-4 + 10x)(1 + x) = 0 Multiply (-4 + 10x) * (1 + x) (-4(1 + x) + 10x * (1 + x)) = 0 ((1 * -4 + x * -4) + 10x * (1 + x)) = 0 ((-4 + -4x) + 10x * (1 + x)) = 0 (-4 + -4x + (1 * 10x + x * 10x)) = 0 (-4 + -4x + (10x + 10x2)) = 0 Combine like terms: -4x + 10x = 6x (-4 + 6x + 10x2) = 0 Solving -4 + 6x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 3x + 5x2) = 0 Factor a trinomial. 2((-1 + -1x)(2 + -5x)) = 0 Ignore the factor 2.Subproblem 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 '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 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 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Solution
x = {-1, 0.4}
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