0=-10x^2+27x+16

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Solution for 0=-10x^2+27x+16 equation: 


Simplifying
0 = -10x2 + 27x + 16

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

Solving
0 = 16 + 27x + -10x2

Solving for variable 'x'.

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

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

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

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

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

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


Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve:

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 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 + -2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 0 + 1
-2x = 0 + 1

Combine like terms: 0 + 1 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

Subproblem 2
Set the factor '(16 + -5x)' equal to zero and attempt to solve:

Simplifying
16 + -5x = 0

Solving
16 + -5x = 0

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

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

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

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

Divide each side by '-5'.
x = 3.2

Simplifying
x = 3.2
Solution
x = {-0.5, 3.2}

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