0=4x^2+39x-10

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Solution for 0=4x^2+39x-10 equation: 


Simplifying
0 = 4x2 + 39x + -10

Reorder the terms:
0 = -10 + 39x + 4x2

Solving
0 = -10 + 39x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + 10 = 10
10 + -39x + -4x2 = -10 + 39x + 4x2 + 10 + -39x + -4x2

Reorder the terms:
10 + -39x + -4x2 = -10 + 10 + 39x + -39x + 4x2 + -4x2

Combine like terms: -10 + 10 = 0
10 + -39x + -4x2 = 0 + 39x + -39x + 4x2 + -4x2
10 + -39x + -4x2 = 39x + -39x + 4x2 + -4x2

Combine like terms: 39x + -39x = 0
10 + -39x + -4x2 = 0 + 4x2 + -4x2
10 + -39x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
10 + -39x + -4x2 = 0

Factor a trinomial.
(1 + -4x)(10 + x) = 0


Subproblem 1
Set the factor '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 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 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25

Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Solution
x = {0.25, -10}

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