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Simplifying
9x2 = 10x2 + -4
Reorder the terms:
9x2 = -4 + 10x2
Solving
9x2 = -4 + 10x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10x2' to each side of the equation.
9x2 + -10x2 = -4 + 10x2 + -10x2
Combine like terms: 9x2 + -10x2 = -1x2
-1x2 = -4 + 10x2 + -10x2
Combine like terms: 10x2 + -10x2 = 0
-1x2 = -4 + 0
-1x2 = -4
Divide each side by '-1'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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