3a^2-(a-1)(3a+4)=4a-7

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Solution for 3a^2-(a-1)(3a+4)=4a-7 equation:


Simplifying
3a2 + -1(a + -1)(3a + 4) = 4a + -7

Reorder the terms:
3a2 + -1(-1 + a)(3a + 4) = 4a + -7

Reorder the terms:
3a2 + -1(-1 + a)(4 + 3a) = 4a + -7

Multiply (-1 + a) * (4 + 3a)
3a2 + -1(-1(4 + 3a) + a(4 + 3a)) = 4a + -7
3a2 + -1((4 * -1 + 3a * -1) + a(4 + 3a)) = 4a + -7
3a2 + -1((-4 + -3a) + a(4 + 3a)) = 4a + -7
3a2 + -1(-4 + -3a + (4 * a + 3a * a)) = 4a + -7
3a2 + -1(-4 + -3a + (4a + 3a2)) = 4a + -7

Combine like terms: -3a + 4a = 1a
3a2 + -1(-4 + 1a + 3a2) = 4a + -7
3a2 + (-4 * -1 + 1a * -1 + 3a2 * -1) = 4a + -7
3a2 + (4 + -1a + -3a2) = 4a + -7

Reorder the terms:
4 + -1a + 3a2 + -3a2 = 4a + -7

Combine like terms: 3a2 + -3a2 = 0
4 + -1a + 0 = 4a + -7
4 + -1a = 4a + -7

Reorder the terms:
4 + -1a = -7 + 4a

Solving
4 + -1a = -7 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
4 + -1a + -4a = -7 + 4a + -4a

Combine like terms: -1a + -4a = -5a
4 + -5a = -7 + 4a + -4a

Combine like terms: 4a + -4a = 0
4 + -5a = -7 + 0
4 + -5a = -7

Add '-4' to each side of the equation.
4 + -4 + -5a = -7 + -4

Combine like terms: 4 + -4 = 0
0 + -5a = -7 + -4
-5a = -7 + -4

Combine like terms: -7 + -4 = -11
-5a = -11

Divide each side by '-5'.
a = 2.2

Simplifying
a = 2.2

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