# How do you solve #3x^2 – 2x = 15x – 10#?

Put all terms together on one side.

Mix similar terms together.

To solve the equation, apply the quadratic formula.

Replace the values found in the equation.

Simplify.

Simplify.

Simplify.

Diminish the percentage.

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To solve the equation 3x^2 - 2x = 15x - 10, follow these steps:

- Combine like terms to get the equation in standard quadratic form: 3x^2 - 15x - 2x + 10 = 0.
- Rearrange the terms: 3x^2 - 17x + 10 = 0.
- To solve the quadratic equation, you can use factoring, completing the square, or the quadratic formula.
- Factoring may not be straightforward, so you can use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a), where a = 3, b = -17, and c = 10.
- Plug the values into the formula: x = (17 ± √(17^2 - 4
*3*10)) / (2*3). - Simplify: x = (17 ± √(289 - 120)) / 6.
- Further simplify: x = (17 ± √169) / 6.
- Find the square root of 169: x = (17 ± 13) / 6.
- Calculate both possible solutions: x1 = (17 + 13) / 6 = 30 / 6 = 5 and x2 = (17 - 13) / 6 = 4 / 6 = 2/3.
- Therefore, the solutions to the equation are x = 5 and x = 2/3.

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