3x*2(x+4)=10x

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Solution for 3x*2(x+4)=10x equation:


Simplifying
3x * 2(x + 4) = 10x

Reorder the terms:
3x * 2(4 + x) = 10x

Reorder the terms for easier multiplication:
3 * 2x(4 + x) = 10x

Multiply 3 * 2
6x(4 + x) = 10x
(4 * 6x + x * 6x) = 10x
(24x + 6x2) = 10x

Solving
24x + 6x2 = 10x

Solving for variable 'x'.

Reorder the terms:
24x + -10x + 6x2 = 10x + -10x

Combine like terms: 24x + -10x = 14x
14x + 6x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
14x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(7 + 3x) = 0

Ignore the factor 2.

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 '(7 + 3x)' equal to zero and attempt to solve:

Simplifying
7 + 3x = 0

Solving
7 + 3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 0 + -7
3x = 0 + -7

Combine like terms: 0 + -7 = -7
3x = -7

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333
Solution
x = {0, -2.333333333}

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