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Popular >

(2x-3)^2=4x^2-15

Solution

(2 x - 3)^{2} = 4 x^{2} - 15

Solution

x = 2

Solution steps

(2 x - 3)^{2} = 4 x^{2} - 15

Expand

(2 x - 3)^{2} : 4 x^{2} - 12 x + 9

4 x^{2} - 12 x + 9 = 4 x^{2} - 15

Move

9

to the right side

4 x^{2} - 12 x = 4 x^{2} - 24

Move

4 x^{2}

to the left side

- 12 x = - 24

Divide both sides by

- 12

x = 2

Popular Examples

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2 u^{2} + 5 uv - 12 v^{2}

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6 b^{3} - 7 b^{2}

simplify-(11/2)/((-2))simplify

- \frac{\frac{11}{2}}{( - 2 )}

factor 16x^2-169 factor

16 x^{2} - 169

-18x+21>-15\lor 20x-13>= 27

- 18 x + 21 > - 15 or 20 x - 13 \geq 27

Frequently Asked Questions (FAQ)

What is the answer to (2x-3)^2=4x^2-15 ?
The answer to (2x-3)^2=4x^2-15 is x=2
Solve for x: (2x-3)^2=4x^2-15
The solution is x=2