6x^2+100=-90x-2(5x-3x^2)

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Solution for 6x^2+100=-90x-2(5x-3x^2) equation: 


Simplifying
6x2 + 100 = -90x + -2(5x + -3x2)

Reorder the terms:
100 + 6x2 = -90x + -2(5x + -3x2)
100 + 6x2 = -90x + (5x * -2 + -3x2 * -2)
100 + 6x2 = -90x + (-10x + 6x2)

Combine like terms: -90x + -10x = -100x
100 + 6x2 = -100x + 6x2

Add '-6x2' to each side of the equation.
100 + 6x2 + -6x2 = -100x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
100 + 0 = -100x + 6x2 + -6x2
100 = -100x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
100 = -100x + 0
100 = -100x

Solving
100 = -100x

Solving for variable 'x'.

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

Add '100x' to each side of the equation.
100 + 100x = -100x + 100x

Combine like terms: -100x + 100x = 0
100 + 100x = 0

Add '-100' to each side of the equation.
100 + -100 + 100x = 0 + -100

Combine like terms: 100 + -100 = 0
0 + 100x = 0 + -100
100x = 0 + -100

Combine like terms: 0 + -100 = -100
100x = -100

Divide each side by '100'.
x = -1

Simplifying
x = -1

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