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Solve the equation:
Full solution
Q. Solve the equation:
- Combine like terms: Combine like terms on the left side of the equation.(7 - 8z^2 - 11z) + (15z + 13 - 12z^2) \(\newline= 7 - 8z^2 - 11z + 15z + 13 - 12z^2= 7 + 13 - 8z^2 - 12z^2 - 11z + 15z= 20 - 20z^2 + 4z\)
- Set equal to right side: Now we have the simplified left side of the equation, which is . We set this equal to the right side of the equation.
- Find value of : Since the equation is already simplified, we can compare the coefficients of the corresponding terms on both sides of the equation to find the value of .The coefficient of on the left side is , so must be .
- Check coefficients and constants: Check if the constant terms and the coefficients of are equal on both sides.Left side: constant term is , coefficient of is .Right side: constant term is , coefficient of is .Both sides match, so the equation is balanced.
