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-4(2x^(2)-3)=-8x^(2)+c
In the given equation, 
c is a constant. What is the value of 
c ?

4(2x23)=8x2+c -4\left(2 x^{2}-3\right)=-8 x^{2}+c \newlineIn the given equation, c c is a constant. What is the value of c c ?

Full solution

Q. 4(2x23)=8x2+c -4\left(2 x^{2}-3\right)=-8 x^{2}+c \newlineIn the given equation, c c is a constant. What is the value of c c ?
  1. Distribute 4-4: First, distribute the 4-4 across the terms inside the parentheses to simplify the left side of the equation.\newline 4(2x23)=8x2+c-4\left(2 x^{2}-3\right)=-8 x^{2}+c \newline4×2x2=8x2-4 \times 2x^{2} = -8x^{2}\newline4×(3)=12-4 \times (-3) = 12\newlineSo, the equation becomes 8x2+12=8x2+c-8x^{2} + 12 = -8x^{2} + c.
  2. Cancel out x2x^2 terms: Next, since the x2x^2 terms on both sides of the equation are the same, they cancel each other out. \newlineThis leaves us with the equation 12=c12 = c.
  3. Find the value of cc: We have, 12=c12 = c. \newlineTherefore, the value of cc is 1212.

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