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Simplifying 21 = 4X2 + -5X Reorder the terms: 21 = -5X + 4X2 Solving 21 = -5X + 4X2 Solving for variable 'X'. Reorder the terms: 21 + 5X + -4X2 = -5X + 5X + 4X2 + -4X2 Combine like terms: -5X + 5X = 0 21 + 5X + -4X2 = 0 + 4X2 + -4X2 21 + 5X + -4X2 = 4X2 + -4X2 Combine like terms: 4X2 + -4X2 = 0 21 + 5X + -4X2 = 0 Factor a trinomial. (3 + -1X)(7 + 4X) = 0Subproblem 1
Set the factor '(3 + -1X)' equal to zero and attempt to solve: Simplifying 3 + -1X = 0 Solving 3 + -1X = 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 + -1X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1X = 0 + -3 -1X = 0 + -3 Combine like terms: 0 + -3 = -3 -1X = -3 Divide each side by '-1'. X = 3 Simplifying X = 3Subproblem 2
Set the factor '(7 + 4X)' equal to zero and attempt to solve: Simplifying 7 + 4X = 0 Solving 7 + 4X = 0 Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4X = 0 + -7 4X = 0 + -7 Combine like terms: 0 + -7 = -7 4X = -7 Divide each side by '4'. X = -1.75 Simplifying X = -1.75Solution
X = {3, -1.75}
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