2y^2-17y^2+51=y^2-49

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Solution for 2y^2-17y^2+51=y^2-49 equation: 


Simplifying
2y2 + -17y2 + 51 = y2 + -49

Reorder the terms:
51 + 2y2 + -17y2 = y2 + -49

Combine like terms: 2y2 + -17y2 = -15y2
51 + -15y2 = y2 + -49

Reorder the terms:
51 + -15y2 = -49 + y2

Solving
51 + -15y2 = -49 + y2

Solving for variable 'y'.

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

Add '-1y2' to each side of the equation.
51 + -15y2 + -1y2 = -49 + y2 + -1y2

Combine like terms: -15y2 + -1y2 = -16y2
51 + -16y2 = -49 + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
51 + -16y2 = -49 + 0
51 + -16y2 = -49

Add '-51' to each side of the equation.
51 + -51 + -16y2 = -49 + -51

Combine like terms: 51 + -51 = 0
0 + -16y2 = -49 + -51
-16y2 = -49 + -51

Combine like terms: -49 + -51 = -100
-16y2 = -100

Divide each side by '-16'.
y2 = 6.25

Simplifying
y2 = 6.25

Take the square root of each side:
y = {-2.5, 2.5}

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