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Simplifying (x + -3)(5x + 4) = 0 Reorder the terms: (-3 + x)(5x + 4) = 0 Reorder the terms: (-3 + x)(4 + 5x) = 0 Multiply (-3 + x) * (4 + 5x) (-3(4 + 5x) + x(4 + 5x)) = 0 ((4 * -3 + 5x * -3) + x(4 + 5x)) = 0 ((-12 + -15x) + x(4 + 5x)) = 0 (-12 + -15x + (4 * x + 5x * x)) = 0 (-12 + -15x + (4x + 5x2)) = 0 Combine like terms: -15x + 4x = -11x (-12 + -11x + 5x2) = 0 Solving -12 + -11x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -5x)(3 + -1x) = 0Subproblem 1
Set the factor '(-4 + -5x)' equal to zero and attempt to solve: Simplifying -4 + -5x = 0 Solving -4 + -5x = 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 + -5x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 0 + 4 -5x = 0 + 4 Combine like terms: 0 + 4 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8Subproblem 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 = {-0.8, 3}
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