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Simplifying
10x2 + -4 = 6x2 + 5
Reorder the terms:
-4 + 10x2 = 6x2 + 5
Reorder the terms:
-4 + 10x2 = 5 + 6x2
Solving
-4 + 10x2 = 5 + 6x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x2' to each side of the equation.
-4 + 10x2 + -6x2 = 5 + 6x2 + -6x2
Combine like terms: 10x2 + -6x2 = 4x2
-4 + 4x2 = 5 + 6x2 + -6x2
Combine like terms: 6x2 + -6x2 = 0
-4 + 4x2 = 5 + 0
-4 + 4x2 = 5
Add '4' to each side of the equation.
-4 + 4 + 4x2 = 5 + 4
Combine like terms: -4 + 4 = 0
0 + 4x2 = 5 + 4
4x2 = 5 + 4
Combine like terms: 5 + 4 = 9
4x2 = 9
Divide each side by '4'.
x2 = 2.25
Simplifying
x2 = 2.25
Take the square root of each side:
x = {-1.5, 1.5}
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