Answer: -1 -3/4
Explanation:
1.Move terms to the left side
4x^{2}+3=-7x
4x^{2}+3-\left( -7x\right) =0
2.Rearrange terms
4x^{2}+3+7x=0
4x^{2}+7x+3=0
3.Use the quadratic formula
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
4x^{2}+7x+3=0
4.Simplify
Evaluate the exponent
Multiply the numbers
Subtract the numbers
Evaluate the square root
Multiply the numbers
-7+1/8
5.Separate the equations
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
x=\frac{-7+1}{8}
x=\frac{-7-1}{8}
6.Solve
Rearrange and isolate the variable to find each solution
x=-\frac{3}{4}
x=-1