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Simplifying 4x2 + 7 = 4x + 6 Reorder the terms: 7 + 4x2 = 4x + 6 Reorder the terms: 7 + 4x2 = 6 + 4x Solving 7 + 4x2 = 6 + 4x Solving for variable 'x'. Reorder the terms: 7 + -6 + -4x + 4x2 = 6 + 4x + -6 + -4x Combine like terms: 7 + -6 = 1 1 + -4x + 4x2 = 6 + 4x + -6 + -4x Reorder the terms: 1 + -4x + 4x2 = 6 + -6 + 4x + -4x Combine like terms: 6 + -6 = 0 1 + -4x + 4x2 = 0 + 4x + -4x 1 + -4x + 4x2 = 4x + -4x Combine like terms: 4x + -4x = 0 1 + -4x + 4x2 = 0 Factor a trinomial. (1 + -2x)(1 + -2x) = 0Subproblem 1
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 = 0.5Subproblem 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 = {0.5, 0.5}
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