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3x(1.5x-2.5)-(3x-5)+(3.5x+7)/0.2=12.5x
We move all terms to the left:
3x(1.5x-2.5)-(3x-5)+(3.5x+7)/0.2-(12.5x)=0
We add all the numbers together, and all the variables
3x(1.5x-2.5)-(3x-5)+(3.5x+7)/0.2-(+12.5x)=0
We multiply parentheses
3x^2-7.5x-(3x-5)+(3.5x+7)/0.2-(+12.5x)=0
We get rid of parentheses
3x^2-7.5x-3x+(3.5x+7)/0.2-12.5x+5=0
We multiply all the terms by the denominator
3x^2*0.2-(7.5x)*0.2-3x*0.2+(3.5x+7)-(12.5x)*0.2+5*0.2=0
We add all the numbers together, and all the variables
3x^2*0.2-(+7.5x)*0.2-3x*0.2+(3.5x+7)-(+12.5x)*0.2+5*0.2=0
We add all the numbers together, and all the variables
3x^2*0.2-(+7.5x)*0.2-3x*0.2+(3.5x+7)-(+12.5x)*0.2+1=0
We multiply parentheses
3x^2*0.2-1.4x-3x*0.2+(3.5x+7)-2.4x+1=0
Wy multiply elements
0.6x^2-1.4x-0.6x+(3.5x+7)-2.4x+1=0
We get rid of parentheses
0.6x^2-1.4x-0.6x+3.5x-2.4x+7+1=0
We add all the numbers together, and all the variables
0.6x^2-0.9x+8=0
a = 0.6; b = -0.9; c = +8;
Δ = b2-4ac
Δ = -0.92-4·0.6·8
Δ = -18.39
Delta is less than zero, so there is no solution for the equation
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