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Simplifying
6x2 + 10 = 2x2 + 30
Reorder the terms:
10 + 6x2 = 2x2 + 30
Reorder the terms:
10 + 6x2 = 30 + 2x2
Solving
10 + 6x2 = 30 + 2x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x2' to each side of the equation.
10 + 6x2 + -2x2 = 30 + 2x2 + -2x2
Combine like terms: 6x2 + -2x2 = 4x2
10 + 4x2 = 30 + 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
10 + 4x2 = 30 + 0
10 + 4x2 = 30
Add '-10' to each side of the equation.
10 + -10 + 4x2 = 30 + -10
Combine like terms: 10 + -10 = 0
0 + 4x2 = 30 + -10
4x2 = 30 + -10
Combine like terms: 30 + -10 = 20
4x2 = 20
Divide each side by '4'.
x2 = 5
Simplifying
x2 = 5
Take the square root of each side:
x = {-2.236067978, 2.236067978}
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