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Simplifying (x + -3)(-5x + 1) = 0 Reorder the terms: (-3 + x)(-5x + 1) = 0 Reorder the terms: (-3 + x)(1 + -5x) = 0 Multiply (-3 + x) * (1 + -5x) (-3(1 + -5x) + x(1 + -5x)) = 0 ((1 * -3 + -5x * -3) + x(1 + -5x)) = 0 ((-3 + 15x) + x(1 + -5x)) = 0 (-3 + 15x + (1 * x + -5x * x)) = 0 (-3 + 15x + (1x + -5x2)) = 0 Combine like terms: 15x + 1x = 16x (-3 + 16x + -5x2) = 0 Solving -3 + 16x + -5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + x)(1 + -5x) = 0Subproblem 1
Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 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 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Subproblem 2
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 = 0.2Solution
x = {3, 0.2}
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