Final answer:
To solve the expression (19x - 18) * (7x + 1) * (10x - 9) for x, you need to use the distributive property and multiply the terms step by step.
Step-by-step explanation:
To solve the expression (19x - 18) * (7x + 1) * (10x - 9) for x, you need to use the distributive property and multiply the terms. Here are the steps:
- Multiply the first two terms using the distributive property: (19x - 18) * (7x + 1) = 19x * 7x + 19x * 1 - 18 * 7x - 18 * 1
- Multiply the remaining terms with the last term: (19x * 7x + 19x * 1 - 18 * 7x - 18 * 1) * (10x - 9) = (19x * 7x) * (10x - 9) + (19x * 1) * (10x - 9) - (18 * 7x) * (10x - 9) - (18 * 1) * (10x - 9)
- Simplify the expression by multiplying the terms: 133x^2 - 171x - 126x + 162 - 630x + 162 - 90x^2 + 81x
- Combine like terms: 133x^2 - 297x - 90x^2 + 342x + 162 - 630x + 162
- Combine like terms again: 43x^2 - 525x + 324
The simplified expression is 43x^2 - 525x + 324. This is the solution for x.