-x^2+26=3x^2-52

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Solution for -x^2+26=3x^2-52 equation: 


Simplifying
-1x2 + 26 = 3x2 + -52

Reorder the terms:
26 + -1x2 = 3x2 + -52

Reorder the terms:
26 + -1x2 = -52 + 3x2

Solving
26 + -1x2 = -52 + 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.
26 + -1x2 + -3x2 = -52 + 3x2 + -3x2

Combine like terms: -1x2 + -3x2 = -4x2
26 + -4x2 = -52 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
26 + -4x2 = -52 + 0
26 + -4x2 = -52

Add '-26' to each side of the equation.
26 + -26 + -4x2 = -52 + -26

Combine like terms: 26 + -26 = 0
0 + -4x2 = -52 + -26
-4x2 = -52 + -26

Combine like terms: -52 + -26 = -78
-4x2 = -78

Divide each side by '-4'.
x2 = 19.5

Simplifying
x2 = 19.5

Take the square root of each side:
x = {-4.415880433, 4.415880433}

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