Solve the equation. Check your solutions. Write your solutions from least to greatest, separated by a comma, if necessary. -x^(2)-12=-8x x=◻,◻

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Rewrite Equation: Rewrite the equation in standard quadratic form by adding 8x to both sides. Equation: -x^2 + 8x - 12 = 0Use Quadratic Formula: Since the quadratic equation is not easily factorable, we will use the quadratic formula to find the solutions for x. The quadratic formula is x = (-b ± √(b^2 - 4ac)) / (2a), where a = -1, b = 8, and c = -12.Calculate Discriminant: Calculate the discriminant (b^2 - 4ac) to determine the nature of the roots. Discriminant: (8)^2 - 4(-1)(-12) = 64 - 48 = 16Apply Quadratic Formula: Since the discriminant is positive, we have two real and distinct solutions. Now, apply the quadratic formula. x = (-8 ± √16) / (2 * -1)Simplify Solutions: Simplify the solutions. x = (-8 ± 4) / -2Solve for x Values: Solve for both possible values of x. First solution: x = (-8 + 4) / -2 = -4 / -2 = 2 Second solution: x = (-8 - 4) / -2 = -12 / -2 = 6Final Solutions: Write the solutions in ascending order, separated by a comma. Final solutions: 2, 6

Solve the equation. Check your solutions. Write your solutions from least to greatest, separated by a comma, if necessary. $\newline$ $-x^{2}-12=-8 x$ $\newline$ $x = \square , \square$

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Solve the equation. Check your solutions. Write your solutions from least to greatest, separated by a comma, if necessary.\newline−x2−12=−8x-x^{2}-12=-8 x−x2−12=−8x\newlinex=□,□x = \square , \square x=□,□

Solve the equation. Check your solutions. Write your solutions from least to greatest, separated by a comma, if necessary. $\newline$ $-x^{2}-12=-8 x$ $\newline$ $x = \square , \square$