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Simplifying 4x2 + 4x + 1 = 40000 Reorder the terms: 1 + 4x + 4x2 = 40000 Solving 1 + 4x + 4x2 = 40000 Solving for variable 'x'. Reorder the terms: 1 + -40000 + 4x + 4x2 = 40000 + -40000 Combine like terms: 1 + -40000 = -39999 -39999 + 4x + 4x2 = 40000 + -40000 Combine like terms: 40000 + -40000 = 0 -39999 + 4x + 4x2 = 0 Factor a trinomial. (-201 + -2x)(199 + -2x) = 0Subproblem 1
Set the factor '(-201 + -2x)' equal to zero and attempt to solve: Simplifying -201 + -2x = 0 Solving -201 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '201' to each side of the equation. -201 + 201 + -2x = 0 + 201 Combine like terms: -201 + 201 = 0 0 + -2x = 0 + 201 -2x = 0 + 201 Combine like terms: 0 + 201 = 201 -2x = 201 Divide each side by '-2'. x = -100.5 Simplifying x = -100.5Subproblem 2
Set the factor '(199 + -2x)' equal to zero and attempt to solve: Simplifying 199 + -2x = 0 Solving 199 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-199' to each side of the equation. 199 + -199 + -2x = 0 + -199 Combine like terms: 199 + -199 = 0 0 + -2x = 0 + -199 -2x = 0 + -199 Combine like terms: 0 + -199 = -199 -2x = -199 Divide each side by '-2'. x = 99.5 Simplifying x = 99.5Solution
x = {-100.5, 99.5}
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