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Simplifying 4x2 + 4x + 1 = 100 Reorder the terms: 1 + 4x + 4x2 = 100 Solving 1 + 4x + 4x2 = 100 Solving for variable 'x'. Reorder the terms: 1 + -100 + 4x + 4x2 = 100 + -100 Combine like terms: 1 + -100 = -99 -99 + 4x + 4x2 = 100 + -100 Combine like terms: 100 + -100 = 0 -99 + 4x + 4x2 = 0 Factor a trinomial. (-11 + -2x)(9 + -2x) = 0Subproblem 1
Set the factor '(-11 + -2x)' equal to zero and attempt to solve: Simplifying -11 + -2x = 0 Solving -11 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = 0 + 11 -2x = 0 + 11 Combine like terms: 0 + 11 = 11 -2x = 11 Divide each side by '-2'. x = -5.5 Simplifying x = -5.5Subproblem 2
Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Solution
x = {-5.5, 4.5}
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