X^2+7x-3=(x+5)(x+4)

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Solution for X^2+7x-3=(x+5)(x+4) equation: 


Simplifying
X2 + 7x + -3 = (x + 5)(x + 4)

Reorder the terms:
-3 + X2 + 7x = (x + 5)(x + 4)

Reorder the terms:
-3 + X2 + 7x = (5 + x)(x + 4)

Reorder the terms:
-3 + X2 + 7x = (5 + x)(4 + x)

Multiply (5 + x) * (4 + x)
-3 + X2 + 7x = (5(4 + x) + x(4 + x))
-3 + X2 + 7x = ((4 * 5 + x * 5) + x(4 + x))
-3 + X2 + 7x = ((20 + 5x) + x(4 + x))
-3 + X2 + 7x = (20 + 5x + (4 * x + x * x))
-3 + X2 + 7x = (20 + 5x + (4x + x2))

Combine like terms: 5x + 4x = 9x
-3 + X2 + 7x = (20 + 9x + x2)

Solving
-3 + X2 + 7x = 20 + 9x + x2

Solving for variable 'X'.

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

Add '3' to each side of the equation.
-3 + X2 + 3 + 7x = 20 + 9x + 3 + x2

Reorder the terms:
-3 + 3 + X2 + 7x = 20 + 9x + 3 + x2

Combine like terms: -3 + 3 = 0
0 + X2 + 7x = 20 + 9x + 3 + x2
X2 + 7x = 20 + 9x + 3 + x2

Reorder the terms:
X2 + 7x = 20 + 3 + 9x + x2

Combine like terms: 20 + 3 = 23
X2 + 7x = 23 + 9x + x2

Add '-7x' to each side of the equation.
X2 + 7x + -7x = 23 + 9x + -7x + x2

Combine like terms: 7x + -7x = 0
X2 + 0 = 23 + 9x + -7x + x2
X2 = 23 + 9x + -7x + x2

Combine like terms: 9x + -7x = 2x
X2 = 23 + 2x + x2

Simplifying
X2 = 23 + 2x + x2

Reorder the terms:
-23 + X2 + -2x + -1x2 = 23 + 2x + x2 + -23 + -2x + -1x2

Reorder the terms:
-23 + X2 + -2x + -1x2 = 23 + -23 + 2x + -2x + x2 + -1x2

Combine like terms: 23 + -23 = 0
-23 + X2 + -2x + -1x2 = 0 + 2x + -2x + x2 + -1x2
-23 + X2 + -2x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
-23 + X2 + -2x + -1x2 = 0 + x2 + -1x2
-23 + X2 + -2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-23 + X2 + -2x + -1x2 = 0

The solution to this equation could not be determined.

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