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Simplifying
4x2 + 20 = 18 + 35
Reorder the terms:
20 + 4x2 = 18 + 35
Combine like terms: 18 + 35 = 53
20 + 4x2 = 53
Solving
20 + 4x2 = 53
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-20' to each side of the equation.
20 + -20 + 4x2 = 53 + -20
Combine like terms: 20 + -20 = 0
0 + 4x2 = 53 + -20
4x2 = 53 + -20
Combine like terms: 53 + -20 = 33
4x2 = 33
Divide each side by '4'.
x2 = 8.25
Simplifying
x2 = 8.25
Take the square root of each side:
x = {-2.872281323, 2.872281323}
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