3x(5x+7)=x

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


Simplifying
3x(5x + 7) = x

Reorder the terms:
3x(7 + 5x) = x
(7 * 3x + 5x * 3x) = x
(21x + 15x2) = x

Solving
21x + 15x2 = x

Solving for variable 'x'.

Reorder the terms:
21x + -1x + 15x2 = x + -1x

Combine like terms: 21x + -1x = 20x
20x + 15x2 = x + -1x

Combine like terms: x + -1x = 0
20x + 15x2 = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(4 + 3x) = 0

Ignore the factor 5.

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 '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333
Solution
x = {0, -1.333333333}

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