X(x+7)+114=2(x+7)(x-3)

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Solution for X(x+7)+114=2(x+7)(x-3) equation: 


Simplifying
X(x + 7) + 114 = 2(x + 7)(x + -3)

Reorder the terms:
X(7 + x) + 114 = 2(x + 7)(x + -3)
(7 * X + x * X) + 114 = 2(x + 7)(x + -3)
(7X + xX) + 114 = 2(x + 7)(x + -3)

Reorder the terms:
114 + 7X + xX = 2(x + 7)(x + -3)

Reorder the terms:
114 + 7X + xX = 2(7 + x)(x + -3)

Reorder the terms:
114 + 7X + xX = 2(7 + x)(-3 + x)

Multiply (7 + x) * (-3 + x)
114 + 7X + xX = 2(7(-3 + x) + x(-3 + x))
114 + 7X + xX = 2((-3 * 7 + x * 7) + x(-3 + x))
114 + 7X + xX = 2((-21 + 7x) + x(-3 + x))
114 + 7X + xX = 2(-21 + 7x + (-3 * x + x * x))
114 + 7X + xX = 2(-21 + 7x + (-3x + x2))

Combine like terms: 7x + -3x = 4x
114 + 7X + xX = 2(-21 + 4x + x2)
114 + 7X + xX = (-21 * 2 + 4x * 2 + x2 * 2)
114 + 7X + xX = (-42 + 8x + 2x2)

Solving
114 + 7X + xX = -42 + 8x + 2x2

Solving for variable 'X'.

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

Add '-114' to each side of the equation.
114 + 7X + -114 + xX = -42 + 8x + -114 + 2x2

Reorder the terms:
114 + -114 + 7X + xX = -42 + 8x + -114 + 2x2

Combine like terms: 114 + -114 = 0
0 + 7X + xX = -42 + 8x + -114 + 2x2
7X + xX = -42 + 8x + -114 + 2x2

Reorder the terms:
7X + xX = -42 + -114 + 8x + 2x2

Combine like terms: -42 + -114 = -156
7X + xX = -156 + 8x + 2x2

Reorder the terms:
156 + 7X + -8x + xX + -2x2 = -156 + 8x + 2x2 + 156 + -8x + -2x2

Reorder the terms:
156 + 7X + -8x + xX + -2x2 = -156 + 156 + 8x + -8x + 2x2 + -2x2

Combine like terms: -156 + 156 = 0
156 + 7X + -8x + xX + -2x2 = 0 + 8x + -8x + 2x2 + -2x2
156 + 7X + -8x + xX + -2x2 = 8x + -8x + 2x2 + -2x2

Combine like terms: 8x + -8x = 0
156 + 7X + -8x + xX + -2x2 = 0 + 2x2 + -2x2
156 + 7X + -8x + xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
156 + 7X + -8x + xX + -2x2 = 0

The solution to this equation could not be determined.

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