16x^2+63x=190

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Solution for 16x^2+63x=190 equation:


Simplifying
16x2 + 63x = 190

Reorder the terms:
63x + 16x2 = 190

Solving
63x + 16x2 = 190

Solving for variable 'x'.

Reorder the terms:
-190 + 63x + 16x2 = 190 + -190

Combine like terms: 190 + -190 = 0
-190 + 63x + 16x2 = 0

Factor a trinomial.
(-95 + -16x)(2 + -1x) = 0

Subproblem 1

Set the factor '(-95 + -16x)' equal to zero and attempt to solve: Simplifying -95 + -16x = 0 Solving -95 + -16x = 0 Move all terms containing x to the left, all other terms to the right. Add '95' to each side of the equation. -95 + 95 + -16x = 0 + 95 Combine like terms: -95 + 95 = 0 0 + -16x = 0 + 95 -16x = 0 + 95 Combine like terms: 0 + 95 = 95 -16x = 95 Divide each side by '-16'. x = -5.9375 Simplifying x = -5.9375

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 = {-5.9375, 2}

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