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Simplifying (-3x + 5)(x + 1) = 0 Reorder the terms: (5 + -3x)(x + 1) = 0 Reorder the terms: (5 + -3x)(1 + x) = 0 Multiply (5 + -3x) * (1 + x) (5(1 + x) + -3x * (1 + x)) = 0 ((1 * 5 + x * 5) + -3x * (1 + x)) = 0 ((5 + 5x) + -3x * (1 + x)) = 0 (5 + 5x + (1 * -3x + x * -3x)) = 0 (5 + 5x + (-3x + -3x2)) = 0 Combine like terms: 5x + -3x = 2x (5 + 2x + -3x2) = 0 Solving 5 + 2x + -3x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -3x)(1 + x) = 0Subproblem 1
Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {1.666666667, -1}
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