x^2-3x+30=(x+g)(x+h)

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Solution for x^2-3x+30=(x+g)(x+h) equation: 


Simplifying
x2 + -3x + 30 = (x + g)(x + h)

Reorder the terms:
30 + -3x + x2 = (x + g)(x + h)

Reorder the terms:
30 + -3x + x2 = (g + x)(x + h)

Reorder the terms:
30 + -3x + x2 = (g + x)(h + x)

Multiply (g + x) * (h + x)
30 + -3x + x2 = (g(h + x) + x(h + x))
30 + -3x + x2 = ((h * g + x * g) + x(h + x))
30 + -3x + x2 = ((gh + gx) + x(h + x))
30 + -3x + x2 = (gh + gx + (h * x + x * x))
30 + -3x + x2 = (gh + gx + (hx + x2))
30 + -3x + x2 = (gh + gx + hx + x2)

Add '-1x2' to each side of the equation.
30 + -3x + x2 + -1x2 = gh + gx + hx + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
30 + -3x + 0 = gh + gx + hx + x2 + -1x2
30 + -3x = gh + gx + hx + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
30 + -3x = gh + gx + hx + 0
30 + -3x = gh + gx + hx

Solving
30 + -3x = gh + gx + hx

Solving for variable 'x'.

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

Add '-1gx' to each side of the equation.
30 + -1gx + -3x = gh + gx + -1gx + hx

Combine like terms: gx + -1gx = 0
30 + -1gx + -3x = gh + 0 + hx
30 + -1gx + -3x = gh + hx

Add '-1hx' to each side of the equation.
30 + -1gx + -1hx + -3x = gh + hx + -1hx

Combine like terms: hx + -1hx = 0
30 + -1gx + -1hx + -3x = gh + 0
30 + -1gx + -1hx + -3x = gh

Add '-30' to each side of the equation.
30 + -1gx + -1hx + -30 + -3x = -30 + gh

Reorder the terms:
30 + -30 + -1gx + -1hx + -3x = -30 + gh

Combine like terms: 30 + -30 = 0
0 + -1gx + -1hx + -3x = -30 + gh
-1gx + -1hx + -3x = -30 + gh

Reorder the terms:
30 + -1gh + -1gx + -1hx + -3x = -30 + gh + 30 + -1gh

Reorder the terms:
30 + -1gh + -1gx + -1hx + -3x = -30 + 30 + gh + -1gh

Combine like terms: -30 + 30 = 0
30 + -1gh + -1gx + -1hx + -3x = 0 + gh + -1gh
30 + -1gh + -1gx + -1hx + -3x = gh + -1gh

Combine like terms: gh + -1gh = 0
30 + -1gh + -1gx + -1hx + -3x = 0

The solution to this equation could not be determined.

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