3x(x-1)-4x(x-7)=

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Solution for 3x(x-1)-4x(x-7)= equation: 


Simplifying
3x(x + -1) + -4x(x + -7) = 0

Reorder the terms:
3x(-1 + x) + -4x(x + -7) = 0
(-1 * 3x + x * 3x) + -4x(x + -7) = 0
(-3x + 3x2) + -4x(x + -7) = 0

Reorder the terms:
-3x + 3x2 + -4x(-7 + x) = 0
-3x + 3x2 + (-7 * -4x + x * -4x) = 0
-3x + 3x2 + (28x + -4x2) = 0

Reorder the terms:
-3x + 28x + 3x2 + -4x2 = 0

Combine like terms: -3x + 28x = 25x
25x + 3x2 + -4x2 = 0

Combine like terms: 3x2 + -4x2 = -1x2
25x + -1x2 = 0

Solving
25x + -1x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(25 + -1x) = 0


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 '(25 + -1x)' equal to zero and attempt to solve:

Simplifying
25 + -1x = 0

Solving
25 + -1x = 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 + -1x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1x = 0 + -25
-1x = 0 + -25

Combine like terms: 0 + -25 = -25
-1x = -25

Divide each side by '-1'.
x = 25

Simplifying
x = 25
Solution
x = {0, 25}

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