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(-2x-8.4)(0.7x+4.2)=0
We multiply parentheses ..
(+0x^2-8.4x-0x-35.28)=0
We get rid of parentheses
0x^2-8.4x-0x-35.28=0
We add all the numbers together, and all the variables
x^2-9.4x-35.28=0
a = 1; b = -9.4; c = -35.28;
Δ = b2-4ac
Δ = -9.42-4·1·(-35.28)
Δ = 229.48
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{-(-9.4)-\sqrt{229.48}}{2*1}=\frac{9.4-\sqrt{229.48}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9.4)+\sqrt{229.48}}{2*1}=\frac{9.4+\sqrt{229.48}}{2} $
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