(a+b)x^2+8x(a+b)+15(a+b)=

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Solution for (a+b)x^2+8x(a+b)+15(a+b)= equation: 


Simplifying
(a + b) * x2 + 8x(a + b) + 15(a + b) = 0

Reorder the terms for easier multiplication:
x2(a + b) + 8x(a + b) + 15(a + b) = 0
(a * x2 + b * x2) + 8x(a + b) + 15(a + b) = 0
(ax2 + bx2) + 8x(a + b) + 15(a + b) = 0
ax2 + bx2 + (a * 8x + b * 8x) + 15(a + b) = 0
ax2 + bx2 + (8ax + 8bx) + 15(a + b) = 0
ax2 + bx2 + 8ax + 8bx + (a * 15 + b * 15) = 0
ax2 + bx2 + 8ax + 8bx + (15a + 15b) = 0

Reorder the terms:
15a + 8ax + ax2 + 15b + 8bx + bx2 = 0

Solving
15a + 8ax + ax2 + 15b + 8bx + bx2 = 0

Solving for variable 'a'.

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

Add '-15b' to each side of the equation.
15a + 8ax + ax2 + 15b + 8bx + -15b + bx2 = 0 + -15b

Reorder the terms:
15a + 8ax + ax2 + 15b + -15b + 8bx + bx2 = 0 + -15b

Combine like terms: 15b + -15b = 0
15a + 8ax + ax2 + 0 + 8bx + bx2 = 0 + -15b
15a + 8ax + ax2 + 8bx + bx2 = 0 + -15b
Remove the zero:
15a + 8ax + ax2 + 8bx + bx2 = -15b

Add '-8bx' to each side of the equation.
15a + 8ax + ax2 + 8bx + -8bx + bx2 = -15b + -8bx

Combine like terms: 8bx + -8bx = 0
15a + 8ax + ax2 + 0 + bx2 = -15b + -8bx
15a + 8ax + ax2 + bx2 = -15b + -8bx

Add '-1bx2' to each side of the equation.
15a + 8ax + ax2 + bx2 + -1bx2 = -15b + -8bx + -1bx2

Combine like terms: bx2 + -1bx2 = 0
15a + 8ax + ax2 + 0 = -15b + -8bx + -1bx2
15a + 8ax + ax2 = -15b + -8bx + -1bx2

Reorder the terms:
15a + 8ax + ax2 + 15b + 8bx + bx2 = -15b + 15b + -8bx + 8bx + -1bx2 + bx2

Combine like terms: -15b + 15b = 0
15a + 8ax + ax2 + 15b + 8bx + bx2 = 0 + -8bx + 8bx + -1bx2 + bx2
15a + 8ax + ax2 + 15b + 8bx + bx2 = -8bx + 8bx + -1bx2 + bx2

Combine like terms: -8bx + 8bx = 0
15a + 8ax + ax2 + 15b + 8bx + bx2 = 0 + -1bx2 + bx2
15a + 8ax + ax2 + 15b + 8bx + bx2 = -1bx2 + bx2

Combine like terms: -1bx2 + bx2 = 0
15a + 8ax + ax2 + 15b + 8bx + bx2 = 0

The solution to this equation could not be determined.

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