8x^2+10=5x^2+58

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Solution for 8x^2+10=5x^2+58 equation:


Simplifying
8x2 + 10 = 5x2 + 58

Reorder the terms:
10 + 8x2 = 5x2 + 58

Reorder the terms:
10 + 8x2 = 58 + 5x2

Solving
10 + 8x2 = 58 + 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.
10 + 8x2 + -5x2 = 58 + 5x2 + -5x2

Combine like terms: 8x2 + -5x2 = 3x2
10 + 3x2 = 58 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
10 + 3x2 = 58 + 0
10 + 3x2 = 58

Add '-10' to each side of the equation.
10 + -10 + 3x2 = 58 + -10

Combine like terms: 10 + -10 = 0
0 + 3x2 = 58 + -10
3x2 = 58 + -10

Combine like terms: 58 + -10 = 48
3x2 = 48

Divide each side by '3'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}

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