x(160-4x)=1500

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Solution for x(160-4x)=1500 equation: 


Simplifying
x(160 + -4x) = 1500
(160 * x + -4x * x) = 1500
(160x + -4x2) = 1500

Solving
160x + -4x2 = 1500

Solving for variable 'x'.

Reorder the terms:
-1500 + 160x + -4x2 = 1500 + -1500

Combine like terms: 1500 + -1500 = 0
-1500 + 160x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-375 + 40x + -1x2) = 0

Factor a trinomial.
4((-25 + x)(15 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-25 + x)' equal to zero and attempt to solve:

Simplifying
-25 + x = 0

Solving
-25 + x = 0

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

Add '25' to each side of the equation.
-25 + 25 + x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + x = 0 + 25
x = 0 + 25

Combine like terms: 0 + 25 = 25
x = 25

Simplifying
x = 25

Subproblem 2
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
Solution
x = {25, 15}

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