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Simplifying
6x2 + -10 = 5x2 + -3
Reorder the terms:
-10 + 6x2 = 5x2 + -3
Reorder the terms:
-10 + 6x2 = -3 + 5x2
Solving
-10 + 6x2 = -3 + 5x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x2' to each side of the equation.
-10 + 6x2 + -5x2 = -3 + 5x2 + -5x2
Combine like terms: 6x2 + -5x2 = 1x2
-10 + 1x2 = -3 + 5x2 + -5x2
Combine like terms: 5x2 + -5x2 = 0
-10 + 1x2 = -3 + 0
-10 + 1x2 = -3
Add '10' to each side of the equation.
-10 + 10 + 1x2 = -3 + 10
Combine like terms: -10 + 10 = 0
0 + 1x2 = -3 + 10
1x2 = -3 + 10
Combine like terms: -3 + 10 = 7
1x2 = 7
Divide each side by '1'.
x2 = 7
Simplifying
x2 = 7
Take the square root of each side:
x = {-2.645751311, 2.645751311}
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