=-4x^2+(7x^2-11)+3

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Solution for =-4x^2+(7x^2-11)+3 equation:


Simplifying
0 = -4x2 + (7x2 + -11) + 3

Reorder the terms:
0 = -4x2 + (-11 + 7x2) + 3

Remove parenthesis around (-11 + 7x2)
0 = -4x2 + -11 + 7x2 + 3

Reorder the terms:
0 = -11 + 3 + -4x2 + 7x2

Combine like terms: -11 + 3 = -8
0 = -8 + -4x2 + 7x2

Combine like terms: -4x2 + 7x2 = 3x2
0 = -8 + 3x2

Solving
0 = -8 + 3x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x2' to each side of the equation.
0 + -3x2 = -8 + 3x2 + -3x2
Remove the zero:
-3x2 = -8 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-3x2 = -8 + 0
-3x2 = -8

Divide each side by '-3'.
x2 = 2.666666667

Simplifying
x2 = 2.666666667

Take the square root of each side:
x = {-1.632993162, 1.632993162}

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