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Simplifying
5x2 + 4 = 3x2 + 36
Reorder the terms:
4 + 5x2 = 3x2 + 36
Reorder the terms:
4 + 5x2 = 36 + 3x2
Solving
4 + 5x2 = 36 + 3x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x2' to each side of the equation.
4 + 5x2 + -3x2 = 36 + 3x2 + -3x2
Combine like terms: 5x2 + -3x2 = 2x2
4 + 2x2 = 36 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
4 + 2x2 = 36 + 0
4 + 2x2 = 36
Add '-4' to each side of the equation.
4 + -4 + 2x2 = 36 + -4
Combine like terms: 4 + -4 = 0
0 + 2x2 = 36 + -4
2x2 = 36 + -4
Combine like terms: 36 + -4 = 32
2x2 = 32
Divide each side by '2'.
x2 = 16
Simplifying
x2 = 16
Take the square root of each side:
x = {-4, 4}
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