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Simplifying (3 + -5x)(2 + x) = 0 Multiply (3 + -5x) * (2 + x) (3(2 + x) + -5x * (2 + x)) = 0 ((2 * 3 + x * 3) + -5x * (2 + x)) = 0 ((6 + 3x) + -5x * (2 + x)) = 0 (6 + 3x + (2 * -5x + x * -5x)) = 0 (6 + 3x + (-10x + -5x2)) = 0 Combine like terms: 3x + -10x = -7x (6 + -7x + -5x2) = 0 Solving 6 + -7x + -5x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -5x)(2 + x) = 0Subproblem 1
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 = 0.6Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {0.6, -2}
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