0=16x^2+10x+x

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Solution for 0=16x^2+10x+x equation:


Simplifying
0 = 16x2 + 10x + x

Reorder the terms:
0 = 10x + x + 16x2

Combine like terms: 10x + x = 11x
0 = 11x + 16x2

Solving
0 = 11x + 16x2

Solving for variable 'x'.
Remove the zero:
-11x + -16x2 = 11x + 16x2 + -11x + -16x2

Reorder the terms:
-11x + -16x2 = 11x + -11x + 16x2 + -16x2

Combine like terms: 11x + -11x = 0
-11x + -16x2 = 0 + 16x2 + -16x2
-11x + -16x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
-11x + -16x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(11 + 16x) = 0

Ignore the factor -1.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(11 + 16x)' equal to zero and attempt to solve: Simplifying 11 + 16x = 0 Solving 11 + 16x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 16x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 16x = 0 + -11 16x = 0 + -11 Combine like terms: 0 + -11 = -11 16x = -11 Divide each side by '16'. x = -0.6875 Simplifying x = -0.6875

Solution

x = {0, -0.6875}

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