a+190=(2x+10)(x-2)

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Solution for a+190=(2x+10)(x-2) equation:


Simplifying
a + 190 = (2x + 10)(x + -2)

Reorder the terms:
190 + a = (2x + 10)(x + -2)

Reorder the terms:
190 + a = (10 + 2x)(x + -2)

Reorder the terms:
190 + a = (10 + 2x)(-2 + x)

Multiply (10 + 2x) * (-2 + x)
190 + a = (10(-2 + x) + 2x * (-2 + x))
190 + a = ((-2 * 10 + x * 10) + 2x * (-2 + x))
190 + a = ((-20 + 10x) + 2x * (-2 + x))
190 + a = (-20 + 10x + (-2 * 2x + x * 2x))
190 + a = (-20 + 10x + (-4x + 2x2))

Combine like terms: 10x + -4x = 6x
190 + a = (-20 + 6x + 2x2)

Solving
190 + a = -20 + 6x + 2x2

Solving for variable 'a'.

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

Add '-190' to each side of the equation.
190 + -190 + a = -20 + 6x + -190 + 2x2

Combine like terms: 190 + -190 = 0
0 + a = -20 + 6x + -190 + 2x2
a = -20 + 6x + -190 + 2x2

Reorder the terms:
a = -20 + -190 + 6x + 2x2

Combine like terms: -20 + -190 = -210
a = -210 + 6x + 2x2

Simplifying
a = -210 + 6x + 2x2

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