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0.5x(7x+4)=7-1.5x
We move all terms to the left:
0.5x(7x+4)-(7-1.5x)=0
We add all the numbers together, and all the variables
0.5x(7x+4)-(-1.5x+7)=0
We multiply parentheses
0x^2+0x-(-1.5x+7)=0
We get rid of parentheses
0x^2+0x+1.5x-7=0
We add all the numbers together, and all the variables
x^2+2.5x-7=0
a = 1; b = 2.5; c = -7;
Δ = b2-4ac
Δ = 2.52-4·1·(-7)
Δ = 34.25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2.5)-\sqrt{34.25}}{2*1}=\frac{-2.5-\sqrt{34.25}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2.5)+\sqrt{34.25}}{2*1}=\frac{-2.5+\sqrt{34.25}}{2} $
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