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Simplifying -18 + -21X + 4X2 = 0 Solving -18 + -21X + 4X2 = 0 Solving for variable 'X'. Factor a trinomial. (-3 + -4X)(6 + -1X) = 0Subproblem 1
Set the factor '(-3 + -4X)' equal to zero and attempt to solve: Simplifying -3 + -4X = 0 Solving -3 + -4X = 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 + -4X = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4X = 0 + 3 -4X = 0 + 3 Combine like terms: 0 + 3 = 3 -4X = 3 Divide each side by '-4'. X = -0.75 Simplifying X = -0.75Subproblem 2
Set the factor '(6 + -1X)' equal to zero and attempt to solve: Simplifying 6 + -1X = 0 Solving 6 + -1X = 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 + -1X = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1X = 0 + -6 -1X = 0 + -6 Combine like terms: 0 + -6 = -6 -1X = -6 Divide each side by '-1'. X = 6 Simplifying X = 6Solution
X = {-0.75, 6}
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