(25-2x)(15-2x)=375

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Solution for (25-2x)(15-2x)=375 equation:


Simplifying
(25 + -2x)(15 + -2x) = 375

Multiply (25 + -2x) * (15 + -2x)
(25(15 + -2x) + -2x * (15 + -2x)) = 375
((15 * 25 + -2x * 25) + -2x * (15 + -2x)) = 375
((375 + -50x) + -2x * (15 + -2x)) = 375
(375 + -50x + (15 * -2x + -2x * -2x)) = 375
(375 + -50x + (-30x + 4x2)) = 375

Combine like terms: -50x + -30x = -80x
(375 + -80x + 4x2) = 375

Add '-375' to each side of the equation.
375 + -80x + -375 + 4x2 = 375 + -375

Reorder the terms:
375 + -375 + -80x + 4x2 = 375 + -375

Combine like terms: 375 + -375 = 0
0 + -80x + 4x2 = 375 + -375
-80x + 4x2 = 375 + -375

Combine like terms: 375 + -375 = 0
-80x + 4x2 = 0

Solving
-80x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-20 + x) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-20 + x)' equal to zero and attempt to solve: Simplifying -20 + x = 0 Solving -20 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + x = 0 + 20 x = 0 + 20 Combine like terms: 0 + 20 = 20 x = 20 Simplifying x = 20

Solution

x = {0, 20}

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