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Simplifying
4x2 + 5 = 10
Reorder the terms:
5 + 4x2 = 10
Solving
5 + 4x2 = 10
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + 4x2 = 10 + -5
Combine like terms: 5 + -5 = 0
0 + 4x2 = 10 + -5
4x2 = 10 + -5
Combine like terms: 10 + -5 = 5
4x2 = 5
Divide each side by '4'.
x2 = 1.25
Simplifying
x2 = 1.25
Take the square root of each side:
x = {-1.118033989, 1.118033989}
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