5x^2+43=(X+1)(5X-7)

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Solution for 5x^2+43=(X+1)(5X-7) equation: 


Simplifying
5x2 + 43 = (X + 1)(5X + -7)

Reorder the terms:
43 + 5x2 = (X + 1)(5X + -7)

Reorder the terms:
43 + 5x2 = (1 + X)(5X + -7)

Reorder the terms:
43 + 5x2 = (1 + X)(-7 + 5X)

Multiply (1 + X) * (-7 + 5X)
43 + 5x2 = (1(-7 + 5X) + X(-7 + 5X))
43 + 5x2 = ((-7 * 1 + 5X * 1) + X(-7 + 5X))
43 + 5x2 = ((-7 + 5X) + X(-7 + 5X))
43 + 5x2 = (-7 + 5X + (-7 * X + 5X * X))
43 + 5x2 = (-7 + 5X + (-7X + 5X2))

Combine like terms: 5X + -7X = -2X
43 + 5x2 = (-7 + -2X + 5X2)

Solving
43 + 5x2 = -7 + -2X + 5X2

Solving for variable 'x'.

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

Add '-43' to each side of the equation.
43 + -43 + 5x2 = -7 + -2X + -43 + 5X2

Combine like terms: 43 + -43 = 0
0 + 5x2 = -7 + -2X + -43 + 5X2
5x2 = -7 + -2X + -43 + 5X2

Reorder the terms:
5x2 = -7 + -43 + -2X + 5X2

Combine like terms: -7 + -43 = -50
5x2 = -50 + -2X + 5X2

Divide each side by '5'.
x2 = -10 + -0.4X + X2

Simplifying
x2 = -10 + -0.4X + X2

Reorder the terms:
10 + 0.4X + -1X2 + x2 = -10 + -0.4X + X2 + 10 + 0.4X + -1X2

Reorder the terms:
10 + 0.4X + -1X2 + x2 = -10 + 10 + -0.4X + 0.4X + X2 + -1X2

Combine like terms: -10 + 10 = 0
10 + 0.4X + -1X2 + x2 = 0 + -0.4X + 0.4X + X2 + -1X2
10 + 0.4X + -1X2 + x2 = -0.4X + 0.4X + X2 + -1X2

Combine like terms: -0.4X + 0.4X = 0.0
10 + 0.4X + -1X2 + x2 = 0.0 + X2 + -1X2
10 + 0.4X + -1X2 + x2 = X2 + -1X2

Combine like terms: X2 + -1X2 = 0
10 + 0.4X + -1X2 + x2 = 0

The solution to this equation could not be determined.

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