2(4x+3)(3x+5)=X^2+58x+B

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Solution for 2(4x+3)(3x+5)=X^2+58x+B equation: 


Simplifying
2(4x + 3)(3x + 5) = X2 + 58x + B

Reorder the terms:
2(3 + 4x)(3x + 5) = X2 + 58x + B

Reorder the terms:
2(3 + 4x)(5 + 3x) = X2 + 58x + B

Multiply (3 + 4x) * (5 + 3x)
2(3(5 + 3x) + 4x * (5 + 3x)) = X2 + 58x + B
2((5 * 3 + 3x * 3) + 4x * (5 + 3x)) = X2 + 58x + B
2((15 + 9x) + 4x * (5 + 3x)) = X2 + 58x + B
2(15 + 9x + (5 * 4x + 3x * 4x)) = X2 + 58x + B
2(15 + 9x + (20x + 12x2)) = X2 + 58x + B

Combine like terms: 9x + 20x = 29x
2(15 + 29x + 12x2) = X2 + 58x + B
(15 * 2 + 29x * 2 + 12x2 * 2) = X2 + 58x + B
(30 + 58x + 24x2) = X2 + 58x + B

Reorder the terms:
30 + 58x + 24x2 = B + X2 + 58x

Add '-58x' to each side of the equation.
30 + 58x + -58x + 24x2 = B + X2 + 58x + -58x

Combine like terms: 58x + -58x = 0
30 + 0 + 24x2 = B + X2 + 58x + -58x
30 + 24x2 = B + X2 + 58x + -58x

Combine like terms: 58x + -58x = 0
30 + 24x2 = B + X2 + 0
30 + 24x2 = B + X2

Solving
30 + 24x2 = B + X2

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + 24x2 = B + -30 + X2

Combine like terms: 30 + -30 = 0
0 + 24x2 = B + -30 + X2
24x2 = B + -30 + X2

Reorder the terms:
24x2 = -30 + B + X2

Divide each side by '24'.
x2 = -1.25 + 0.04166666667B + 0.04166666667X2

Simplifying
x2 = -1.25 + 0.04166666667B + 0.04166666667X2

Reorder the terms:
1.25 + -0.04166666667B + -0.04166666667X2 + x2 = -1.25 + 0.04166666667B + 0.04166666667X2 + 1.25 + -0.04166666667B + -0.04166666667X2

Reorder the terms:
1.25 + -0.04166666667B + -0.04166666667X2 + x2 = -1.25 + 1.25 + 0.04166666667B + -0.04166666667B + 0.04166666667X2 + -0.04166666667X2

Combine like terms: -1.25 + 1.25 = 0.00
1.25 + -0.04166666667B + -0.04166666667X2 + x2 = 0.00 + 0.04166666667B + -0.04166666667B + 0.04166666667X2 + -0.04166666667X2
1.25 + -0.04166666667B + -0.04166666667X2 + x2 = 0.04166666667B + -0.04166666667B + 0.04166666667X2 + -0.04166666667X2

Combine like terms: 0.04166666667B + -0.04166666667B = 0.00000000000
1.25 + -0.04166666667B + -0.04166666667X2 + x2 = 0.00000000000 + 0.04166666667X2 + -0.04166666667X2
1.25 + -0.04166666667B + -0.04166666667X2 + x2 = 0.04166666667X2 + -0.04166666667X2

Combine like terms: 0.04166666667X2 + -0.04166666667X2 = 0.00000000000
1.25 + -0.04166666667B + -0.04166666667X2 + x2 = 0.00000000000

The solution to this equation could not be determined.

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