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Simplifying 4X * X + X + -3 = 0 Multiply X * X 4X2 + X + -3 = 0 Reorder the terms: -3 + X + 4X2 = 0 Solving -3 + X + 4X2 = 0 Solving for variable 'X'. Factor a trinomial. (-1 + -1X)(3 + -4X) = 0Subproblem 1
Set the factor '(-1 + -1X)' equal to zero and attempt to solve: Simplifying -1 + -1X = 0 Solving -1 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1X = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1X = 0 + 1 -1X = 0 + 1 Combine like terms: 0 + 1 = 1 -1X = 1 Divide each side by '-1'. X = -1 Simplifying X = -1Subproblem 2
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 = 0.75Solution
X = {-1, 0.75}
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