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Simplifying
5x2 + 9 = 10 + -4x2
Reorder the terms:
9 + 5x2 = 10 + -4x2
Solving
9 + 5x2 = 10 + -4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4x2' to each side of the equation.
9 + 5x2 + 4x2 = 10 + -4x2 + 4x2
Combine like terms: 5x2 + 4x2 = 9x2
9 + 9x2 = 10 + -4x2 + 4x2
Combine like terms: -4x2 + 4x2 = 0
9 + 9x2 = 10 + 0
9 + 9x2 = 10
Add '-9' to each side of the equation.
9 + -9 + 9x2 = 10 + -9
Combine like terms: 9 + -9 = 0
0 + 9x2 = 10 + -9
9x2 = 10 + -9
Combine like terms: 10 + -9 = 1
9x2 = 1
Divide each side by '9'.
x2 = 0.1111111111
Simplifying
x2 = 0.1111111111
Take the square root of each side:
x = {-0.333333333, 0.333333333}
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