3(4x^2-7)=5(x^2-3)

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Solution for 3(4x^2-7)=5(x^2-3) equation: 


Simplifying
3(4x2 + -7) = 5(x2 + -3)

Reorder the terms:
3(-7 + 4x2) = 5(x2 + -3)
(-7 * 3 + 4x2 * 3) = 5(x2 + -3)
(-21 + 12x2) = 5(x2 + -3)

Reorder the terms:
-21 + 12x2 = 5(-3 + x2)
-21 + 12x2 = (-3 * 5 + x2 * 5)
-21 + 12x2 = (-15 + 5x2)

Solving
-21 + 12x2 = -15 + 5x2

Solving for variable 'x'.

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

Add '-5x2' to each side of the equation.
-21 + 12x2 + -5x2 = -15 + 5x2 + -5x2

Combine like terms: 12x2 + -5x2 = 7x2
-21 + 7x2 = -15 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-21 + 7x2 = -15 + 0
-21 + 7x2 = -15

Add '21' to each side of the equation.
-21 + 21 + 7x2 = -15 + 21

Combine like terms: -21 + 21 = 0
0 + 7x2 = -15 + 21
7x2 = -15 + 21

Combine like terms: -15 + 21 = 6
7x2 = 6

Divide each side by '7'.
x2 = 0.8571428571

Simplifying
x2 = 0.8571428571

Take the square root of each side:
x = {-0.9258201, 0.9258201}

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