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Simplifying 95 = x(1 + 4x) 95 = (1 * x + 4x * x) 95 = (1x + 4x2) Solving 95 = 1x + 4x2 Solving for variable 'x'. Reorder the terms: 95 + -1x + -4x2 = 1x + -1x + 4x2 + -4x2 Combine like terms: 1x + -1x = 0 95 + -1x + -4x2 = 0 + 4x2 + -4x2 95 + -1x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 95 + -1x + -4x2 = 0 Factor a trinomial. (19 + -4x)(5 + x) = 0Subproblem 1
Set the factor '(19 + -4x)' equal to zero and attempt to solve: Simplifying 19 + -4x = 0 Solving 19 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -4x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -4x = 0 + -19 -4x = 0 + -19 Combine like terms: 0 + -19 = -19 -4x = -19 Divide each side by '-4'. x = 4.75 Simplifying x = 4.75Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {4.75, -5}
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