10x^2+72x+144=10000

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Solution for 10x^2+72x+144=10000 equation: 


Simplifying
10x2 + 72x + 144 = 10000

Reorder the terms:
144 + 72x + 10x2 = 10000

Solving
144 + 72x + 10x2 = 10000

Solving for variable 'x'.

Reorder the terms:
144 + -10000 + 72x + 10x2 = 10000 + -10000

Combine like terms: 144 + -10000 = -9856
-9856 + 72x + 10x2 = 10000 + -10000

Combine like terms: 10000 + -10000 = 0
-9856 + 72x + 10x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4928 + 36x + 5x2) = 0

Factor a trinomial.
2((-176 + -5x)(28 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-176 + -5x)' equal to zero and attempt to solve:

Simplifying
-176 + -5x = 0

Solving
-176 + -5x = 0

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

Add '176' to each side of the equation.
-176 + 176 + -5x = 0 + 176

Combine like terms: -176 + 176 = 0
0 + -5x = 0 + 176
-5x = 0 + 176

Combine like terms: 0 + 176 = 176
-5x = 176

Divide each side by '-5'.
x = -35.2

Simplifying
x = -35.2

Subproblem 2
Set the factor '(28 + -1x)' equal to zero and attempt to solve:

Simplifying
28 + -1x = 0

Solving
28 + -1x = 0

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

Add '-28' to each side of the equation.
28 + -28 + -1x = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -1x = 0 + -28
-1x = 0 + -28

Combine like terms: 0 + -28 = -28
-1x = -28

Divide each side by '-1'.
x = 28

Simplifying
x = 28
Solution
x = {-35.2, 28}

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