25=4x^2+32x+64

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Solution for 25=4x^2+32x+64 equation: 


Simplifying
25 = 4x2 + 32x + 64

Reorder the terms:
25 = 64 + 32x + 4x2

Solving
25 = 64 + 32x + 4x2

Solving for variable 'x'.

Combine like terms: 25 + -64 = -39
-39 + -32x + -4x2 = 64 + 32x + 4x2 + -64 + -32x + -4x2

Reorder the terms:
-39 + -32x + -4x2 = 64 + -64 + 32x + -32x + 4x2 + -4x2

Combine like terms: 64 + -64 = 0
-39 + -32x + -4x2 = 0 + 32x + -32x + 4x2 + -4x2
-39 + -32x + -4x2 = 32x + -32x + 4x2 + -4x2

Combine like terms: 32x + -32x = 0
-39 + -32x + -4x2 = 0 + 4x2 + -4x2
-39 + -32x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-39 + -32x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(39 + 32x + 4x2) = 0

Factor a trinomial.
-1((13 + 2x)(3 + 2x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(13 + 2x)' equal to zero and attempt to solve:

Simplifying
13 + 2x = 0

Solving
13 + 2x = 0

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

Add '-13' to each side of the equation.
13 + -13 + 2x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = 0 + -13
2x = 0 + -13

Combine like terms: 0 + -13 = -13
2x = -13

Divide each side by '2'.
x = -6.5

Simplifying
x = -6.5

Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {-6.5, -1.5}

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