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Simplifying 5x2 = 21x + -4 Reorder the terms: 5x2 = -4 + 21x Solving 5x2 = -4 + 21x Solving for variable 'x'. Reorder the terms: 4 + -21x + 5x2 = -4 + 21x + 4 + -21x Reorder the terms: 4 + -21x + 5x2 = -4 + 4 + 21x + -21x Combine like terms: -4 + 4 = 0 4 + -21x + 5x2 = 0 + 21x + -21x 4 + -21x + 5x2 = 21x + -21x Combine like terms: 21x + -21x = 0 4 + -21x + 5x2 = 0 Factor a trinomial. (1 + -5x)(4 + -1x) = 0Subproblem 1
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {0.2, 4}
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