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Simplifying
5x2 + 20 = 1x2 + 23
Reorder the terms:
20 + 5x2 = 1x2 + 23
Reorder the terms:
20 + 5x2 = 23 + 1x2
Solving
20 + 5x2 = 23 + 1x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
20 + 5x2 + -1x2 = 23 + 1x2 + -1x2
Combine like terms: 5x2 + -1x2 = 4x2
20 + 4x2 = 23 + 1x2 + -1x2
Combine like terms: 1x2 + -1x2 = 0
20 + 4x2 = 23 + 0
20 + 4x2 = 23
Add '-20' to each side of the equation.
20 + -20 + 4x2 = 23 + -20
Combine like terms: 20 + -20 = 0
0 + 4x2 = 23 + -20
4x2 = 23 + -20
Combine like terms: 23 + -20 = 3
4x2 = 3
Divide each side by '4'.
x2 = 0.75
Simplifying
x2 = 0.75
Take the square root of each side:
x = {-0.866025404, 0.866025404}
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