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Simplifying 4X2 + 12X + 9 = 16 Reorder the terms: 9 + 12X + 4X2 = 16 Solving 9 + 12X + 4X2 = 16 Solving for variable 'X'. Reorder the terms: 9 + -16 + 12X + 4X2 = 16 + -16 Combine like terms: 9 + -16 = -7 -7 + 12X + 4X2 = 16 + -16 Combine like terms: 16 + -16 = 0 -7 + 12X + 4X2 = 0 Factor a trinomial. (-7 + -2X)(1 + -2X) = 0Subproblem 1
Set the factor '(-7 + -2X)' equal to zero and attempt to solve: Simplifying -7 + -2X = 0 Solving -7 + -2X = 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 + -2X = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2X = 0 + 7 -2X = 0 + 7 Combine like terms: 0 + 7 = 7 -2X = 7 Divide each side by '-2'. X = -3.5 Simplifying X = -3.5Subproblem 2
Set the factor '(1 + -2X)' equal to zero and attempt to solve: Simplifying 1 + -2X = 0 Solving 1 + -2X = 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 + -2X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2X = 0 + -1 -2X = 0 + -1 Combine like terms: 0 + -1 = -1 -2X = -1 Divide each side by '-2'. X = 0.5 Simplifying X = 0.5Solution
X = {-3.5, 0.5}
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