14x(-12x-8)+17x(-2x-19)=101x(-2x-16)+19x

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Solution for 14x(-12x-8)+17x(-2x-19)=101x(-2x-16)+19x equation:


Simplifying
14x(-12x + -8) + 17x(-2x + -19) = 101x(-2x + -16) + 19x

Reorder the terms:
14x(-8 + -12x) + 17x(-2x + -19) = 101x(-2x + -16) + 19x
(-8 * 14x + -12x * 14x) + 17x(-2x + -19) = 101x(-2x + -16) + 19x
(-112x + -168x2) + 17x(-2x + -19) = 101x(-2x + -16) + 19x

Reorder the terms:
-112x + -168x2 + 17x(-19 + -2x) = 101x(-2x + -16) + 19x
-112x + -168x2 + (-19 * 17x + -2x * 17x) = 101x(-2x + -16) + 19x
-112x + -168x2 + (-323x + -34x2) = 101x(-2x + -16) + 19x

Reorder the terms:
-112x + -323x + -168x2 + -34x2 = 101x(-2x + -16) + 19x

Combine like terms: -112x + -323x = -435x
-435x + -168x2 + -34x2 = 101x(-2x + -16) + 19x

Combine like terms: -168x2 + -34x2 = -202x2
-435x + -202x2 = 101x(-2x + -16) + 19x

Reorder the terms:
-435x + -202x2 = 101x(-16 + -2x) + 19x
-435x + -202x2 = (-16 * 101x + -2x * 101x) + 19x
-435x + -202x2 = (-1616x + -202x2) + 19x

Reorder the terms:
-435x + -202x2 = -1616x + 19x + -202x2

Combine like terms: -1616x + 19x = -1597x
-435x + -202x2 = -1597x + -202x2

Add '202x2' to each side of the equation.
-435x + -202x2 + 202x2 = -1597x + -202x2 + 202x2

Combine like terms: -202x2 + 202x2 = 0
-435x + 0 = -1597x + -202x2 + 202x2
-435x = -1597x + -202x2 + 202x2

Combine like terms: -202x2 + 202x2 = 0
-435x = -1597x + 0
-435x = -1597x

Solving
-435x = -1597x

Solving for variable 'x'.

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

Add '1597x' to each side of the equation.
-435x + 1597x = -1597x + 1597x

Combine like terms: -435x + 1597x = 1162x
1162x = -1597x + 1597x

Combine like terms: -1597x + 1597x = 0
1162x = 0

Divide each side by '1162'.
x = 0

Simplifying
x = 0

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