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(5x+7)(7x+7)=
We move all terms to the left:
(5x+7)(7x+7)-()=0
We add all the numbers together, and all the variables
(5x+7)(7x+7)=0
We multiply parentheses ..
(+35x^2+35x+49x+49)=0
We get rid of parentheses
35x^2+35x+49x+49=0
We add all the numbers together, and all the variables
35x^2+84x+49=0
a = 35; b = 84; c = +49;
Δ = b2-4ac
Δ = 842-4·35·49
Δ = 196
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{196}=14$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(84)-14}{2*35}=\frac{-98}{70} =-1+2/5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(84)+14}{2*35}=\frac{-70}{70} =-1 $
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