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Simplifying (5x + -14)(3 + -10x) = 0 Reorder the terms: (-14 + 5x)(3 + -10x) = 0 Multiply (-14 + 5x) * (3 + -10x) (-14(3 + -10x) + 5x * (3 + -10x)) = 0 ((3 * -14 + -10x * -14) + 5x * (3 + -10x)) = 0 ((-42 + 140x) + 5x * (3 + -10x)) = 0 (-42 + 140x + (3 * 5x + -10x * 5x)) = 0 (-42 + 140x + (15x + -50x2)) = 0 Combine like terms: 140x + 15x = 155x (-42 + 155x + -50x2) = 0 Solving -42 + 155x + -50x2 = 0 Solving for variable 'x'. Factor a trinomial. (-14 + 5x)(3 + -10x) = 0Subproblem 1
Set the factor '(-14 + 5x)' equal to zero and attempt to solve: Simplifying -14 + 5x = 0 Solving -14 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 5x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = 0 + 14 5x = 0 + 14 Combine like terms: 0 + 14 = 14 5x = 14 Divide each side by '5'. x = 2.8 Simplifying x = 2.8Subproblem 2
Set the factor '(3 + -10x)' equal to zero and attempt to solve: Simplifying 3 + -10x = 0 Solving 3 + -10x = 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 + -10x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -10x = 0 + -3 -10x = 0 + -3 Combine like terms: 0 + -3 = -3 -10x = -3 Divide each side by '-10'. x = 0.3 Simplifying x = 0.3Solution
x = {2.8, 0.3}
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