Solve for C
C=5x^{2}-10x+1
Solve for x (complex solution)
x=-\frac{\sqrt{5C+20}}{5}+1
x=\frac{\sqrt{5C+20}}{5}+1
Solve for x
x=-\frac{\sqrt{5C+20}}{5}+1
x=\frac{\sqrt{5C+20}}{5}+1\text{, }C\geq -4
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C=-x^{2}+1+2x\left(3x-5\right)
To find the opposite of x^{2}-1, find the opposite of each term.
C=-x^{2}+1+6x^{2}-10x
Use the distributive property to multiply 2x by 3x-5.
C=5x^{2}+1-10x
Combine -x^{2} and 6x^{2} to get 5x^{2}.
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