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Simplifying (4x + 1)(5x + -3) = 0 Reorder the terms: (1 + 4x)(5x + -3) = 0 Reorder the terms: (1 + 4x)(-3 + 5x) = 0 Multiply (1 + 4x) * (-3 + 5x) (1(-3 + 5x) + 4x * (-3 + 5x)) = 0 ((-3 * 1 + 5x * 1) + 4x * (-3 + 5x)) = 0 ((-3 + 5x) + 4x * (-3 + 5x)) = 0 (-3 + 5x + (-3 * 4x + 5x * 4x)) = 0 (-3 + 5x + (-12x + 20x2)) = 0 Combine like terms: 5x + -12x = -7x (-3 + -7x + 20x2) = 0 Solving -3 + -7x + 20x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -4x)(3 + -5x) = 0Subproblem 1
Set the factor '(-1 + -4x)' equal to zero and attempt to solve: Simplifying -1 + -4x = 0 Solving -1 + -4x = 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 + -4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 0 + 1 -4x = 0 + 1 Combine like terms: 0 + 1 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25Subproblem 2
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 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 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Solution
x = {-0.25, 0.6}
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