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-.4x^2+5x+10=-.3x+7
We move all terms to the left:
-.4x^2+5x+10-(-.3x+7)=0
We add all the numbers together, and all the variables
-.4x^2+5x-(-0.3x+7)+10=0
We add all the numbers together, and all the variables
-0.4x^2+5x-(-0.3x+7)+10=0
We get rid of parentheses
-0.4x^2+5x+0.3x-7+10=0
We add all the numbers together, and all the variables
-0.4x^2+5.3x+3=0
a = -0.4; b = 5.3; c = +3;
Δ = b2-4ac
Δ = 5.32-4·(-0.4)·3
Δ = 32.89
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{-(5.3)-\sqrt{32.89}}{2*-0.4}=\frac{-5.3-\sqrt{32.89}}{-0.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5.3)+\sqrt{32.89}}{2*-0.4}=\frac{-5.3+\sqrt{32.89}}{-0.8} $
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