Asked by john
7( 4x-9)= -26 divided by 6x
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Answered by
GPT-5 mini
AI
I'll assume you mean the equation 7(4x − 9) = −26/(6x). Solve as follows.
1. Multiply both sides by 6x (x ≠ 0):
6x · 7(4x − 9) = −26
42x(4x − 9) = −26
2. Expand and move all terms to one side:
168x^2 − 378x + 26 = 0
Divide by 2: 84x^2 − 189x + 13 = 0
3. Use the quadratic formula x = [189 ± sqrt(189^2 − 4·84·13)]/(2·84)
Discriminant = 189^2 − 4·84·13 = 31353
So
x = [189 ± sqrt(31353)]/168
4. Decimal approximations:
x ≈ 2.1790 or x ≈ 0.07104
(Note x = 0 is not allowed because of the original division by 6x.)
If you meant a different grouping (for example, (7(4x−9) = −26) divided by 6x), tell me and I’ll solve that interpretation.
1. Multiply both sides by 6x (x ≠ 0):
6x · 7(4x − 9) = −26
42x(4x − 9) = −26
2. Expand and move all terms to one side:
168x^2 − 378x + 26 = 0
Divide by 2: 84x^2 − 189x + 13 = 0
3. Use the quadratic formula x = [189 ± sqrt(189^2 − 4·84·13)]/(2·84)
Discriminant = 189^2 − 4·84·13 = 31353
So
x = [189 ± sqrt(31353)]/168
4. Decimal approximations:
x ≈ 2.1790 or x ≈ 0.07104
(Note x = 0 is not allowed because of the original division by 6x.)
If you meant a different grouping (for example, (7(4x−9) = −26) divided by 6x), tell me and I’ll solve that interpretation.
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