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Simplifying 9 + x = 4x2 + 1x Reorder the terms: 9 + x = 1x + 4x2 Solving 9 + x = 1x + 4x2 Solving for variable 'x'. Combine like terms: x + -1x = 0 9 + 0 + -4x2 = 1x + 4x2 + -1x + -4x2 9 + -4x2 = 1x + 4x2 + -1x + -4x2 Reorder the terms: 9 + -4x2 = 1x + -1x + 4x2 + -4x2 Combine like terms: 1x + -1x = 0 9 + -4x2 = 0 + 4x2 + -4x2 9 + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 9 + -4x2 = 0 Factor a difference between two squares. (3 + 2x)(3 + -2x) = 0Subproblem 1
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {-1.5, 1.5}
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