6x^2+7=5x^2+42

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Solution for 6x^2+7=5x^2+42 equation:


Simplifying
6x2 + 7 = 5x2 + 42

Reorder the terms:
7 + 6x2 = 5x2 + 42

Reorder the terms:
7 + 6x2 = 42 + 5x2

Solving
7 + 6x2 = 42 + 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.
7 + 6x2 + -5x2 = 42 + 5x2 + -5x2

Combine like terms: 6x2 + -5x2 = 1x2
7 + 1x2 = 42 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
7 + 1x2 = 42 + 0
7 + 1x2 = 42

Add '-7' to each side of the equation.
7 + -7 + 1x2 = 42 + -7

Combine like terms: 7 + -7 = 0
0 + 1x2 = 42 + -7
1x2 = 42 + -7

Combine like terms: 42 + -7 = 35
1x2 = 35

Divide each side by '1'.
x2 = 35

Simplifying
x2 = 35

Take the square root of each side:
x = {-5.916079783, 5.916079783}

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