Solve the equation. (3x-2)^{2}=(x-5)(9x+4)

Cem Hayes

Cem Hayes

Answered question

2021-09-23

Solve the equation.
(3x2)2=(x5)(9x+4)

Answer & Explanation

Sally Cresswell

Sally Cresswell

Skilled2021-09-24Added 91 answers

Step 1
Given:
(3x2)2=(x5)(9x+4)
Step 2
The given expression is as follows,
(3x2)2=(x5)(9x+4)
On expanding the given expression,
9x212x+4=9x241x20
On subtracting 4 from both the sides
9x212x+44=9x241x204
Step 3
On simplification,
9x212x=9x241x24
On subtracting 9x241x from both the sides
9x212x(9x241x)=9x241x24(9x241x)
On simplifying,
29x=-24
On dividing both the sides by 29
29x29=2429
On further simplification,
x=2429

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