5x^2+4=2x^2+2(7x+2)

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Solution for 5x^2+4=2x^2+2(7x+2) equation: 


Simplifying
5x2 + 4 = 2x2 + 2(7x + 2)

Reorder the terms:
4 + 5x2 = 2x2 + 2(7x + 2)

Reorder the terms:
4 + 5x2 = 2x2 + 2(2 + 7x)
4 + 5x2 = 2x2 + (2 * 2 + 7x * 2)
4 + 5x2 = 2x2 + (4 + 14x)

Reorder the terms:
4 + 5x2 = 4 + 14x + 2x2

Add '-4' to each side of the equation.
4 + -4 + 5x2 = 4 + 14x + -4 + 2x2

Combine like terms: 4 + -4 = 0
0 + 5x2 = 4 + 14x + -4 + 2x2
5x2 = 4 + 14x + -4 + 2x2

Reorder the terms:
5x2 = 4 + -4 + 14x + 2x2

Combine like terms: 4 + -4 = 0
5x2 = 0 + 14x + 2x2
5x2 = 14x + 2x2

Solving
5x2 = 14x + 2x2

Solving for variable 'x'.

Reorder the terms:
-14x + 5x2 + -2x2 = 14x + 2x2 + -14x + -2x2

Combine like terms: 5x2 + -2x2 = 3x2
-14x + 3x2 = 14x + 2x2 + -14x + -2x2

Reorder the terms:
-14x + 3x2 = 14x + -14x + 2x2 + -2x2

Combine like terms: 14x + -14x = 0
-14x + 3x2 = 0 + 2x2 + -2x2
-14x + 3x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-14x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-14 + 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 '(-14 + 3x)' equal to zero and attempt to solve:

Simplifying
-14 + 3x = 0

Solving
-14 + 3x = 0

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

Add '14' to each side of the equation.
-14 + 14 + 3x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 3x = 0 + 14
3x = 0 + 14

Combine like terms: 0 + 14 = 14
3x = 14

Divide each side by '3'.
x = 4.666666667

Simplifying
x = 4.666666667
Solution
x = {0, 4.666666667}

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