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Simplifying (14x + 9)(5x + -3) = 0 Reorder the terms: (9 + 14x)(5x + -3) = 0 Reorder the terms: (9 + 14x)(-3 + 5x) = 0 Multiply (9 + 14x) * (-3 + 5x) (9(-3 + 5x) + 14x * (-3 + 5x)) = 0 ((-3 * 9 + 5x * 9) + 14x * (-3 + 5x)) = 0 ((-27 + 45x) + 14x * (-3 + 5x)) = 0 (-27 + 45x + (-3 * 14x + 5x * 14x)) = 0 (-27 + 45x + (-42x + 70x2)) = 0 Combine like terms: 45x + -42x = 3x (-27 + 3x + 70x2) = 0 Solving -27 + 3x + 70x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -14x)(3 + -5x) = 0Subproblem 1
Set the factor '(-9 + -14x)' equal to zero and attempt to solve: Simplifying -9 + -14x = 0 Solving -9 + -14x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -14x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -14x = 0 + 9 -14x = 0 + 9 Combine like terms: 0 + 9 = 9 -14x = 9 Divide each side by '-14'. x = -0.6428571429 Simplifying x = -0.6428571429Subproblem 2
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 = 0.6Solution
x = {-0.6428571429, 0.6}
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