Final answer:
The quadratic equation in standard form is -x² - 3x + 10 = 0, which is achieved by combining like terms after subtracting -5x² from both sides of the original equation.
Step-by-step explanation:
To write the given quadratic equation in standard form, we first need to subtract the term on the right-hand side from both sides to set the equation to zero. Here's the given equation and the steps to rearrange it:
-6x² - 3x + 10 = -5x²
Now, subtract -5x² from both sides:
-6x² + 5x² - 3x + 10 = 0
Combine like terms:
-x² - 3x + 10 = 0
This is the quadratic equation in standard form, which is ax² + bx + c = 0, where a, b, and c are constants. In this case, a = -1, b = -3, and c = 10. This equation can be solved using the quadratic formula, which is x = (-b ± √(b² - 4ac)) / (2a).