x^2-14x-48=(x-8)(x+6)

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Solution for x^2-14x-48=(x-8)(x+6) equation:


Simplifying
x2 + -14x + -48 = (x + -8)(x + 6)

Reorder the terms:
-48 + -14x + x2 = (x + -8)(x + 6)

Reorder the terms:
-48 + -14x + x2 = (-8 + x)(x + 6)

Reorder the terms:
-48 + -14x + x2 = (-8 + x)(6 + x)

Multiply (-8 + x) * (6 + x)
-48 + -14x + x2 = (-8(6 + x) + x(6 + x))
-48 + -14x + x2 = ((6 * -8 + x * -8) + x(6 + x))
-48 + -14x + x2 = ((-48 + -8x) + x(6 + x))
-48 + -14x + x2 = (-48 + -8x + (6 * x + x * x))
-48 + -14x + x2 = (-48 + -8x + (6x + x2))

Combine like terms: -8x + 6x = -2x
-48 + -14x + x2 = (-48 + -2x + x2)

Add '48' to each side of the equation.
-48 + -14x + 48 + x2 = -48 + -2x + 48 + x2

Reorder the terms:
-48 + 48 + -14x + x2 = -48 + -2x + 48 + x2

Combine like terms: -48 + 48 = 0
0 + -14x + x2 = -48 + -2x + 48 + x2
-14x + x2 = -48 + -2x + 48 + x2

Reorder the terms:
-14x + x2 = -48 + 48 + -2x + x2

Combine like terms: -48 + 48 = 0
-14x + x2 = 0 + -2x + x2
-14x + x2 = -2x + x2

Add '-1x2' to each side of the equation.
-14x + x2 + -1x2 = -2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-14x + 0 = -2x + x2 + -1x2
-14x = -2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-14x = -2x + 0
-14x = -2x

Solving
-14x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-14x + 2x = -2x + 2x

Combine like terms: -14x + 2x = -12x
-12x = -2x + 2x

Combine like terms: -2x + 2x = 0
-12x = 0

Divide each side by '-12'.
x = 0

Simplifying
x = 0

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