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Simplifying
3x2 + 28 = 7x2 + 8
Reorder the terms:
28 + 3x2 = 7x2 + 8
Reorder the terms:
28 + 3x2 = 8 + 7x2
Solving
28 + 3x2 = 8 + 7x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x2' to each side of the equation.
28 + 3x2 + -7x2 = 8 + 7x2 + -7x2
Combine like terms: 3x2 + -7x2 = -4x2
28 + -4x2 = 8 + 7x2 + -7x2
Combine like terms: 7x2 + -7x2 = 0
28 + -4x2 = 8 + 0
28 + -4x2 = 8
Add '-28' to each side of the equation.
28 + -28 + -4x2 = 8 + -28
Combine like terms: 28 + -28 = 0
0 + -4x2 = 8 + -28
-4x2 = 8 + -28
Combine like terms: 8 + -28 = -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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