-5(3x^2+ax+b)=cx^2-23x+45

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Solution for -5(3x^2+ax+b)=cx^2-23x+45 equation: 


Simplifying
-5(3x2 + ax + b) = cx2 + -23x + 45

Reorder the terms:
-5(ax + b + 3x2) = cx2 + -23x + 45
(ax * -5 + b * -5 + 3x2 * -5) = cx2 + -23x + 45
(-5ax + -5b + -15x2) = cx2 + -23x + 45

Reorder the terms:
-5ax + -5b + -15x2 = 45 + cx2 + -23x

Solving
-5ax + -5b + -15x2 = 45 + cx2 + -23x

Solving for variable 'a'.

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

Add '5b' to each side of the equation.
-5ax + -5b + 5b + -15x2 = 45 + cx2 + 5b + -23x

Combine like terms: -5b + 5b = 0
-5ax + 0 + -15x2 = 45 + cx2 + 5b + -23x
-5ax + -15x2 = 45 + cx2 + 5b + -23x

Reorder the terms:
-5ax + -15x2 = 45 + 5b + cx2 + -23x

Add '15x2' to each side of the equation.
-5ax + -15x2 + 15x2 = 45 + 5b + cx2 + -23x + 15x2

Combine like terms: -15x2 + 15x2 = 0
-5ax + 0 = 45 + 5b + cx2 + -23x + 15x2
-5ax = 45 + 5b + cx2 + -23x + 15x2

Divide each side by '-5x'.
a = -9x-1 + -1bx-1 + -0.2cx + 4.6 + -3x

Simplifying
a = -9x-1 + -1bx-1 + -0.2cx + 4.6 + -3x

Reorder the terms:
a = 4.6 + -1bx-1 + -0.2cx + -9x-1 + -3x

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