-16x^2+85x+4=110

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Solution for -16x^2+85x+4=110 equation:


Simplifying
-16x2 + 85x + 4 = 110

Reorder the terms:
4 + 85x + -16x2 = 110

Solving
4 + 85x + -16x2 = 110

Solving for variable 'x'.

Reorder the terms:
4 + -110 + 85x + -16x2 = 110 + -110

Combine like terms: 4 + -110 = -106
-106 + 85x + -16x2 = 110 + -110

Combine like terms: 110 + -110 = 0
-106 + 85x + -16x2 = 0

Factor a trinomial.
(-53 + 16x)(2 + -1x) = 0

Subproblem 1

Set the factor '(-53 + 16x)' equal to zero and attempt to solve: Simplifying -53 + 16x = 0 Solving -53 + 16x = 0 Move all terms containing x to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + 16x = 0 + 53 Combine like terms: -53 + 53 = 0 0 + 16x = 0 + 53 16x = 0 + 53 Combine like terms: 0 + 53 = 53 16x = 53 Divide each side by '16'. x = 3.3125 Simplifying x = 3.3125

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {3.3125, 2}

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