7x(5x+3)=35x+21x

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Solution for 7x(5x+3)=35x+21x equation: 


Simplifying
7x(5x + 3) = 35x + 21x

Reorder the terms:
7x(3 + 5x) = 35x + 21x
(3 * 7x + 5x * 7x) = 35x + 21x
(21x + 35x2) = 35x + 21x

Combine like terms: 35x + 21x = 56x
21x + 35x2 = 56x

Solving
21x + 35x2 = 56x

Solving for variable 'x'.

Reorder the terms:
21x + -56x + 35x2 = 56x + -56x

Combine like terms: 21x + -56x = -35x
-35x + 35x2 = 56x + -56x

Combine like terms: 56x + -56x = 0
-35x + 35x2 = 0

Factor out the Greatest Common Factor (GCF), '35x'.
35x(-1 + x) = 0

Ignore the factor 35.

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

Simplifying
-1 + x = 0

Solving
-1 + x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {0, 1}

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