5*(k-x^2)*(2x-5b)=0

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Solution for 5*(k-x^2)*(2x-5b)=0 equation: 


Simplifying
5(k + -1x2)(2x + -5b) = 0

Reorder the terms:
5(k + -1x2)(-5b + 2x) = 0

Multiply (k + -1x2) * (-5b + 2x)
5(k(-5b + 2x) + -1x2 * (-5b + 2x)) = 0
5((-5b * k + 2x * k) + -1x2 * (-5b + 2x)) = 0
5((-5bk + 2kx) + -1x2 * (-5b + 2x)) = 0
5(-5bk + 2kx + (-5b * -1x2 + 2x * -1x2)) = 0
5(-5bk + 2kx + (5bx2 + -2x3)) = 0

Reorder the terms:
5(-5bk + 5bx2 + 2kx + -2x3) = 0
5(-5bk + 5bx2 + 2kx + -2x3) = 0
(-5bk * 5 + 5bx2 * 5 + 2kx * 5 + -2x3 * 5) = 0
(-25bk + 25bx2 + 10kx + -10x3) = 0

Solving
-25bk + 25bx2 + 10kx + -10x3 = 0

Solving for variable 'b'.

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

Add '-10kx' to each side of the equation.
-25bk + 25bx2 + 10kx + -10kx + -10x3 = 0 + -10kx

Combine like terms: 10kx + -10kx = 0
-25bk + 25bx2 + 0 + -10x3 = 0 + -10kx
-25bk + 25bx2 + -10x3 = 0 + -10kx
Remove the zero:
-25bk + 25bx2 + -10x3 = -10kx

Add '10x3' to each side of the equation.
-25bk + 25bx2 + -10x3 + 10x3 = -10kx + 10x3

Combine like terms: -10x3 + 10x3 = 0
-25bk + 25bx2 + 0 = -10kx + 10x3
-25bk + 25bx2 = -10kx + 10x3

Reorder the terms:
-25bk + 25bx2 + 10kx + -10x3 = -10kx + 10kx + 10x3 + -10x3

Combine like terms: -10kx + 10kx = 0
-25bk + 25bx2 + 10kx + -10x3 = 0 + 10x3 + -10x3
-25bk + 25bx2 + 10kx + -10x3 = 10x3 + -10x3

Combine like terms: 10x3 + -10x3 = 0
-25bk + 25bx2 + 10kx + -10x3 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-5bk + 5bx2 + 2kx + -2x3) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-5bk + 5bx2 + 2kx + -2x3)' equal to zero and attempt to solve:

Simplifying
-5bk + 5bx2 + 2kx + -2x3 = 0

Solving
-5bk + 5bx2 + 2kx + -2x3 = 0

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

Add '-2kx' to each side of the equation.
-5bk + 5bx2 + 2kx + -2kx + -2x3 = 0 + -2kx

Combine like terms: 2kx + -2kx = 0
-5bk + 5bx2 + 0 + -2x3 = 0 + -2kx
-5bk + 5bx2 + -2x3 = 0 + -2kx
Remove the zero:
-5bk + 5bx2 + -2x3 = -2kx

Add '2x3' to each side of the equation.
-5bk + 5bx2 + -2x3 + 2x3 = -2kx + 2x3

Combine like terms: -2x3 + 2x3 = 0
-5bk + 5bx2 + 0 = -2kx + 2x3
-5bk + 5bx2 = -2kx + 2x3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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