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-7=-4x^2-7x+4
We move all terms to the left:
-7-(-4x^2-7x+4)=0
We get rid of parentheses
4x^2+7x-4-7=0
We add all the numbers together, and all the variables
4x^2+7x-11=0
a = 4; b = 7; c = -11;
Δ = b2-4ac
Δ = 72-4·4·(-11)
Δ = 225
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{225}=15$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-15}{2*4}=\frac{-22}{8} =-2+3/4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+15}{2*4}=\frac{8}{8} =1 $
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