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Simplifying 4x2 = 19x + 5 Reorder the terms: 4x2 = 5 + 19x Solving 4x2 = 5 + 19x Solving for variable 'x'. Reorder the terms: -5 + -19x + 4x2 = 5 + 19x + -5 + -19x Reorder the terms: -5 + -19x + 4x2 = 5 + -5 + 19x + -19x Combine like terms: 5 + -5 = 0 -5 + -19x + 4x2 = 0 + 19x + -19x -5 + -19x + 4x2 = 19x + -19x Combine like terms: 19x + -19x = 0 -5 + -19x + 4x2 = 0 Factor a trinomial. (-1 + -4x)(5 + -1x) = 0Subproblem 1
Set the factor '(-1 + -4x)' equal to zero and attempt to solve: Simplifying -1 + -4x = 0 Solving -1 + -4x = 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 + -4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 0 + 1 -4x = 0 + 1 Combine like terms: 0 + 1 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-0.25, 5}
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