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Simplifying 21X2 + 10X + -24 = 0 Reorder the terms: -24 + 10X + 21X2 = 0 Solving -24 + 10X + 21X2 = 0 Solving for variable 'X'. Factor a trinomial. (-4 + -3X)(6 + -7X) = 0Subproblem 1
Set the factor '(-4 + -3X)' equal to zero and attempt to solve: Simplifying -4 + -3X = 0 Solving -4 + -3X = 0 Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3X = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3X = 0 + 4 -3X = 0 + 4 Combine like terms: 0 + 4 = 4 -3X = 4 Divide each side by '-3'. X = -1.333333333 Simplifying X = -1.333333333Subproblem 2
Set the factor '(6 + -7X)' equal to zero and attempt to solve: Simplifying 6 + -7X = 0 Solving 6 + -7X = 0 Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7X = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7X = 0 + -6 -7X = 0 + -6 Combine like terms: 0 + -6 = -6 -7X = -6 Divide each side by '-7'. X = 0.8571428571 Simplifying X = 0.8571428571Solution
X = {-1.333333333, 0.8571428571}
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