3a(a+4)-2a+7=10a+7

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Solution for 3a(a+4)-2a+7=10a+7 equation: 


Simplifying
3a(a + 4) + -2a + 7 = 10a + 7

Reorder the terms:
3a(4 + a) + -2a + 7 = 10a + 7
(4 * 3a + a * 3a) + -2a + 7 = 10a + 7
(12a + 3a2) + -2a + 7 = 10a + 7

Reorder the terms:
7 + 12a + -2a + 3a2 = 10a + 7

Combine like terms: 12a + -2a = 10a
7 + 10a + 3a2 = 10a + 7

Reorder the terms:
7 + 10a + 3a2 = 7 + 10a

Add '-7' to each side of the equation.
7 + 10a + -7 + 3a2 = 7 + -7 + 10a

Reorder the terms:
7 + -7 + 10a + 3a2 = 7 + -7 + 10a

Combine like terms: 7 + -7 = 0
0 + 10a + 3a2 = 7 + -7 + 10a
10a + 3a2 = 7 + -7 + 10a

Combine like terms: 7 + -7 = 0
10a + 3a2 = 0 + 10a
10a + 3a2 = 10a

Add '-10a' to each side of the equation.
10a + -10a + 3a2 = 10a + -10a

Combine like terms: 10a + -10a = 0
0 + 3a2 = 10a + -10a
3a2 = 10a + -10a

Combine like terms: 10a + -10a = 0
3a2 = 0

Solving
3a2 = 0

Solving for variable 'a'.

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

Divide each side by '3'.
a2 = 0

Simplifying
a2 = 0

Take the square root of each side:
a = {0}

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