15000=4x^2+380x+8400

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Solution for 15000=4x^2+380x+8400 equation: 


Simplifying
15000 = 4x2 + 380x + 8400

Reorder the terms:
15000 = 8400 + 380x + 4x2

Solving
15000 = 8400 + 380x + 4x2

Solving for variable 'x'.

Combine like terms: 15000 + -8400 = 6600
6600 + -380x + -4x2 = 8400 + 380x + 4x2 + -8400 + -380x + -4x2

Reorder the terms:
6600 + -380x + -4x2 = 8400 + -8400 + 380x + -380x + 4x2 + -4x2

Combine like terms: 8400 + -8400 = 0
6600 + -380x + -4x2 = 0 + 380x + -380x + 4x2 + -4x2
6600 + -380x + -4x2 = 380x + -380x + 4x2 + -4x2

Combine like terms: 380x + -380x = 0
6600 + -380x + -4x2 = 0 + 4x2 + -4x2
6600 + -380x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
6600 + -380x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(1650 + -95x + -1x2) = 0

Factor a trinomial.
4((15 + -1x)(110 + x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15

Subproblem 2
Set the factor '(110 + x)' equal to zero and attempt to solve:

Simplifying
110 + x = 0

Solving
110 + x = 0

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

Add '-110' to each side of the equation.
110 + -110 + x = 0 + -110

Combine like terms: 110 + -110 = 0
0 + x = 0 + -110
x = 0 + -110

Combine like terms: 0 + -110 = -110
x = -110

Simplifying
x = -110
Solution
x = {15, -110}

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