15a*15a+ab-6b*6b-2a*2a-5ab-2a*2a+4ab+b*b=

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Solution for 15a*15a+ab-6b*6b-2a*2a-5ab-2a*2a+4ab+b*b= equation:


Simplifying
15a * 15a + ab + -6b * 6b + -2a * 2a + -5ab + -2a * 2a + 4ab + b * b = 0

Reorder the terms for easier multiplication:
15 * 15a * a + ab + -6b * 6b + -2a * 2a + -5ab + -2a * 2a + 4ab + b * b = 0

Multiply 15 * 15
225a * a + ab + -6b * 6b + -2a * 2a + -5ab + -2a * 2a + 4ab + b * b = 0

Multiply a * a
225a2 + ab + -6b * 6b + -2a * 2a + -5ab + -2a * 2a + 4ab + b * b = 0

Reorder the terms for easier multiplication:
225a2 + ab + -6 * 6b * b + -2a * 2a + -5ab + -2a * 2a + 4ab + b * b = 0

Multiply -6 * 6
225a2 + ab + -36b * b + -2a * 2a + -5ab + -2a * 2a + 4ab + b * b = 0

Multiply b * b
225a2 + ab + -36b2 + -2a * 2a + -5ab + -2a * 2a + 4ab + b * b = 0

Reorder the terms for easier multiplication:
225a2 + ab + -36b2 + -2 * 2a * a + -5ab + -2a * 2a + 4ab + b * b = 0

Multiply -2 * 2
225a2 + ab + -36b2 + -4a * a + -5ab + -2a * 2a + 4ab + b * b = 0

Multiply a * a
225a2 + ab + -36b2 + -4a2 + -5ab + -2a * 2a + 4ab + b * b = 0

Reorder the terms for easier multiplication:
225a2 + ab + -36b2 + -4a2 + -5ab + -2 * 2a * a + 4ab + b * b = 0

Multiply -2 * 2
225a2 + ab + -36b2 + -4a2 + -5ab + -4a * a + 4ab + b * b = 0

Multiply a * a
225a2 + ab + -36b2 + -4a2 + -5ab + -4a2 + 4ab + b * b = 0

Multiply b * b
225a2 + ab + -36b2 + -4a2 + -5ab + -4a2 + 4ab + b2 = 0

Reorder the terms:
ab + -5ab + 4ab + 225a2 + -4a2 + -4a2 + -36b2 + b2 = 0

Combine like terms: ab + -5ab = -4ab
-4ab + 4ab + 225a2 + -4a2 + -4a2 + -36b2 + b2 = 0

Combine like terms: -4ab + 4ab = 0
0 + 225a2 + -4a2 + -4a2 + -36b2 + b2 = 0
225a2 + -4a2 + -4a2 + -36b2 + b2 = 0

Combine like terms: 225a2 + -4a2 = 221a2
221a2 + -4a2 + -36b2 + b2 = 0

Combine like terms: 221a2 + -4a2 = 217a2
217a2 + -36b2 + b2 = 0

Combine like terms: -36b2 + b2 = -35b2
217a2 + -35b2 = 0

Solving
217a2 + -35b2 = 0

Solving for variable 'a'.

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

Add '35b2' to each side of the equation.
217a2 + -35b2 + 35b2 = 0 + 35b2

Combine like terms: -35b2 + 35b2 = 0
217a2 + 0 = 0 + 35b2
217a2 = 0 + 35b2
Remove the zero:
217a2 = 35b2

Divide each side by '217'.
a2 = 0.1612903226b2

Simplifying
a2 = 0.1612903226b2

Take the square root of each side:
a = {-0.401609664b, 0.401609664b}

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