Answer:
The solution to the equation 4x² = 3x is x = 0 and x = 3/4.
Step-by-step explanation:
To solve the equation 4x² = 3x, we need to bring all terms to one side of the equation to set it equal to zero. Here's how you can solve it step by step:
1. Subtract 3x from both sides to get: 4x² - 3x = 0.
2. Factor out an x to simplify the equation: x(4x - 3) = 0.
3. Set each factor to zero to find possible solutions:
a. First factor: x = 0.
b. Second factor: 4x - 3 = 0.
4. Solve the second factor for x:
4x - 3 = 0
4x = 3
x = 3/4.
This isn't too complex to find out but sometimes takes a long time, but anyways, the solution to the equation 4x² = 3x are x = 0 and x = 3/4.
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