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Simplifying 4x2 = 63x + 16 Reorder the terms: 4x2 = 16 + 63x Solving 4x2 = 16 + 63x Solving for variable 'x'. Reorder the terms: -16 + -63x + 4x2 = 16 + 63x + -16 + -63x Reorder the terms: -16 + -63x + 4x2 = 16 + -16 + 63x + -63x Combine like terms: 16 + -16 = 0 -16 + -63x + 4x2 = 0 + 63x + -63x -16 + -63x + 4x2 = 63x + -63x Combine like terms: 63x + -63x = 0 -16 + -63x + 4x2 = 0 Factor a trinomial. (-1 + -4x)(16 + -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 '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Solution
x = {-0.25, 16}
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