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Simplifying (-3x + 1)(2x + -5) = 0 Reorder the terms: (1 + -3x)(2x + -5) = 0 Reorder the terms: (1 + -3x)(-5 + 2x) = 0 Multiply (1 + -3x) * (-5 + 2x) (1(-5 + 2x) + -3x * (-5 + 2x)) = 0 ((-5 * 1 + 2x * 1) + -3x * (-5 + 2x)) = 0 ((-5 + 2x) + -3x * (-5 + 2x)) = 0 (-5 + 2x + (-5 * -3x + 2x * -3x)) = 0 (-5 + 2x + (15x + -6x2)) = 0 Combine like terms: 2x + 15x = 17x (-5 + 17x + -6x2) = 0 Solving -5 + 17x + -6x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + 2x)(1 + -3x) = 0Subproblem 1
Set the factor '(-5 + 2x)' equal to zero and attempt to solve: Simplifying -5 + 2x = 0 Solving -5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 0 + 5 2x = 0 + 5 Combine like terms: 0 + 5 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 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 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Solution
x = {2.5, 0.3333333333}
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