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Simplifying (2x + 3)(x + -10) = 0 Reorder the terms: (3 + 2x)(x + -10) = 0 Reorder the terms: (3 + 2x)(-10 + x) = 0 Multiply (3 + 2x) * (-10 + x) (3(-10 + x) + 2x * (-10 + x)) = 0 ((-10 * 3 + x * 3) + 2x * (-10 + x)) = 0 ((-30 + 3x) + 2x * (-10 + x)) = 0 (-30 + 3x + (-10 * 2x + x * 2x)) = 0 (-30 + 3x + (-20x + 2x2)) = 0 Combine like terms: 3x + -20x = -17x (-30 + -17x + 2x2) = 0 Solving -30 + -17x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -2x)(10 + -1x) = 0Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 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 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {-1.5, 10}
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