6(2-x)+4x=-5x(x+3)

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Solution for 6(2-x)+4x=-5x(x+3) equation:



6(2-x)+4x=-5x(x+3)
We move all terms to the left:
6(2-x)+4x-(-5x(x+3))=0
We add all the numbers together, and all the variables
6(-1x+2)+4x-(-5x(x+3))=0
We add all the numbers together, and all the variables
4x+6(-1x+2)-(-5x(x+3))=0
We multiply parentheses
4x-6x-(-5x(x+3))+12=0
We calculate terms in parentheses: -(-5x(x+3)), so:
-5x(x+3)
We multiply parentheses
-5x^2-15x
Back to the equation:
-(-5x^2-15x)
We add all the numbers together, and all the variables
-(-5x^2-15x)-2x+12=0
We get rid of parentheses
5x^2+15x-2x+12=0
We add all the numbers together, and all the variables
5x^2+13x+12=0
a = 5; b = 13; c = +12;
Δ = b2-4ac
Δ = 132-4·5·12
Δ = -71
Delta is less than zero, so there is no solution for the equation

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