=-16x^2+27x+10

Solution for =-16x^2+27x+10 equation:

Simplifying
0 = -16x2 + 27x + 10

Reorder the terms:
0 = 10 + 27x + -16x2

Solving
0 = 10 + 27x + -16x2

Solving for variable 'x'.

Combine like terms: 0 + -10 = -10
-10 + -27x + 16x2 = 10 + 27x + -16x2 + -10 + -27x + 16x2

Reorder the terms:
-10 + -27x + 16x2 = 10 + -10 + 27x + -27x + -16x2 + 16x2

Combine like terms: 10 + -10 = 0
-10 + -27x + 16x2 = 0 + 27x + -27x + -16x2 + 16x2
-10 + -27x + 16x2 = 27x + -27x + -16x2 + 16x2

Combine like terms: 27x + -27x = 0
-10 + -27x + 16x2 = 0 + -16x2 + 16x2
-10 + -27x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-10 + -27x + 16x2 = 0

Factor a trinomial.
(-5 + -16x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-5 + -16x)' equal to zero and attempt to solve:

Simplifying
-5 + -16x = 0

Solving
-5 + -16x = 0

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + -16x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -16x = 0 + 5
-16x = 0 + 5

Combine like terms: 0 + 5 = 5
-16x = 5

Divide each side by '-16'.
x = -0.3125

Simplifying
x = -0.3125
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 = {-0.3125, 2}