(10+x)(3x)=2(2x)

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Solution for (10+x)(3x)=2(2x) equation: 


Simplifying
(10 + x)(3x) = 2(2x)

Remove parenthesis around (3x)
(10 + x) * 3x = 2(2x)

Reorder the terms for easier multiplication:
3x(10 + x) = 2(2x)
(10 * 3x + x * 3x) = 2(2x)
(30x + 3x2) = 2(2x)

Remove parenthesis around (2x)
30x + 3x2 = 2 * 2x

Multiply 2 * 2
30x + 3x2 = 4x

Solving
30x + 3x2 = 4x

Solving for variable 'x'.

Reorder the terms:
30x + -4x + 3x2 = 4x + -4x

Combine like terms: 30x + -4x = 26x
26x + 3x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
26x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(26 + 3x) = 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 '(26 + 3x)' equal to zero and attempt to solve:

Simplifying
26 + 3x = 0

Solving
26 + 3x = 0

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

Add '-26' to each side of the equation.
26 + -26 + 3x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + 3x = 0 + -26
3x = 0 + -26

Combine like terms: 0 + -26 = -26
3x = -26

Divide each side by '3'.
x = -8.666666667

Simplifying
x = -8.666666667
Solution
x = {0, -8.666666667}

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