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Simplifying
-4x2 + 10 = 6x2 + -9
Reorder the terms:
10 + -4x2 = 6x2 + -9
Reorder the terms:
10 + -4x2 = -9 + 6x2
Solving
10 + -4x2 = -9 + 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.
10 + -4x2 + -6x2 = -9 + 6x2 + -6x2
Combine like terms: -4x2 + -6x2 = -10x2
10 + -10x2 = -9 + 6x2 + -6x2
Combine like terms: 6x2 + -6x2 = 0
10 + -10x2 = -9 + 0
10 + -10x2 = -9
Add '-10' to each side of the equation.
10 + -10 + -10x2 = -9 + -10
Combine like terms: 10 + -10 = 0
0 + -10x2 = -9 + -10
-10x2 = -9 + -10
Combine like terms: -9 + -10 = -19
-10x2 = -19
Divide each side by '-10'.
x2 = 1.9
Simplifying
x2 = 1.9
Take the square root of each side:
x = {-1.378404875, 1.378404875}
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