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Simplifying 4X2 + -16X + -21 = 44 Reorder the terms: -21 + -16X + 4X2 = 44 Solving -21 + -16X + 4X2 = 44 Solving for variable 'X'. Reorder the terms: -21 + -44 + -16X + 4X2 = 44 + -44 Combine like terms: -21 + -44 = -65 -65 + -16X + 4X2 = 44 + -44 Combine like terms: 44 + -44 = 0 -65 + -16X + 4X2 = 0 Factor a trinomial. (-5 + -2X)(13 + -2X) = 0Subproblem 1
Set the factor '(-5 + -2X)' equal to zero and attempt to solve: Simplifying -5 + -2X = 0 Solving -5 + -2X = 0 Move all terms containing X to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2X = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2X = 0 + 5 -2X = 0 + 5 Combine like terms: 0 + 5 = 5 -2X = 5 Divide each side by '-2'. X = -2.5 Simplifying X = -2.5Subproblem 2
Set the factor '(13 + -2X)' equal to zero and attempt to solve: Simplifying 13 + -2X = 0 Solving 13 + -2X = 0 Move all terms containing X to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2X = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2X = 0 + -13 -2X = 0 + -13 Combine like terms: 0 + -13 = -13 -2X = -13 Divide each side by '-2'. X = 6.5 Simplifying X = 6.5Solution
X = {-2.5, 6.5}
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