-16x^2+344x-85=0

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Solution for -16x^2+344x-85=0 equation:


Simplifying
-16x2 + 344x + -85 = 0

Reorder the terms:
-85 + 344x + -16x2 = 0

Solving
-85 + 344x + -16x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-85 + 4x)(1 + -4x) = 0

Subproblem 1

Set the factor '(-85 + 4x)' equal to zero and attempt to solve: Simplifying -85 + 4x = 0 Solving -85 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '85' to each side of the equation. -85 + 85 + 4x = 0 + 85 Combine like terms: -85 + 85 = 0 0 + 4x = 0 + 85 4x = 0 + 85 Combine like terms: 0 + 85 = 85 4x = 85 Divide each side by '4'. x = 21.25 Simplifying x = 21.25

Subproblem 2

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 = 0.25

Solution

x = {21.25, 0.25}

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