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