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Simplifying 4x2 + 15x + -1 = 18 Reorder the terms: -1 + 15x + 4x2 = 18 Solving -1 + 15x + 4x2 = 18 Solving for variable 'x'. Reorder the terms: -1 + -18 + 15x + 4x2 = 18 + -18 Combine like terms: -1 + -18 = -19 -19 + 15x + 4x2 = 18 + -18 Combine like terms: 18 + -18 = 0 -19 + 15x + 4x2 = 0 Factor a trinomial. (-19 + -4x)(1 + -1x) = 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 '(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 = {-4.75, 1}
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