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Simplifying
2x2 + 6x + -10 = -1x2 + 6x
Reorder the terms:
-10 + 6x + 2x2 = -1x2 + 6x
Reorder the terms:
-10 + 6x + 2x2 = 6x + -1x2
Add '-6x' to each side of the equation.
-10 + 6x + -6x + 2x2 = 6x + -6x + -1x2
Combine like terms: 6x + -6x = 0
-10 + 0 + 2x2 = 6x + -6x + -1x2
-10 + 2x2 = 6x + -6x + -1x2
Combine like terms: 6x + -6x = 0
-10 + 2x2 = 0 + -1x2
-10 + 2x2 = -1x2
Solving
-10 + 2x2 = -1x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x2' to each side of the equation.
-10 + 2x2 + x2 = -1x2 + x2
Combine like terms: 2x2 + x2 = 3x2
-10 + 3x2 = -1x2 + x2
Combine like terms: -1x2 + x2 = 0
-10 + 3x2 = 0
Add '10' to each side of the equation.
-10 + 10 + 3x2 = 0 + 10
Combine like terms: -10 + 10 = 0
0 + 3x2 = 0 + 10
3x2 = 0 + 10
Combine like terms: 0 + 10 = 10
3x2 = 10
Divide each side by '3'.
x2 = 3.333333333
Simplifying
x2 = 3.333333333
Take the square root of each side:
x = {-1.825741858, 1.825741858}
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