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Simplifying 5 + 4x = 3 * 3 + x * x Multiply 3 * 3 5 + 4x = 9 + x * x Multiply x * x 5 + 4x = 9 + x2 Solving 5 + 4x = 9 + x2 Solving for variable 'x'. Reorder the terms: 5 + -9 + 4x + -1x2 = 9 + x2 + -9 + -1x2 Combine like terms: 5 + -9 = -4 -4 + 4x + -1x2 = 9 + x2 + -9 + -1x2 Reorder the terms: -4 + 4x + -1x2 = 9 + -9 + x2 + -1x2 Combine like terms: 9 + -9 = 0 -4 + 4x + -1x2 = 0 + x2 + -1x2 -4 + 4x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + 4x + -1x2 = 0 Factor a trinomial. (-2 + x)(2 + -1x) = 0Subproblem 1
Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {2, 2}
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