Question

Please anyone its done today 2m2+ 2m − 12 = 0

Answer 1

is it factorisatiom or solving equation?

Step-by-step explanation:

2m² + 2m - 12 divide the equation by 2

then: m² + m - 6

factorise: (m + 3)(m - 2)

solve m + 3 =0 or m - 2 =0

m= -3 or m = 2

Answer 2

Answer:

$\boxed{\sf m=2,\:m=-3}$

Step-by-step explanation:

$\sf 2m^2+ 2m - 12 = 0$

We can solve the problem by the quadratic equation:

$\boxed{\sf x=\cfrac{-b\pm \sqrt{b^2-4ac}}{2a}}$

$\sf a=2,\:b=2,\:c=-12$

$\sf m=\cfrac{-2\pm \sqrt{2^2-4\times \:2\left(-12\right)}}{2\times \:2}$

lot's solve $\sf \sqrt{2^2-4\cdot \:2\left(-12\right)}$

Multiply 4 * 2* 12= 96

→ $\sf \sqrt{2^2+96}$

→ $\sf \sqrt{4+96}$

Add 4 + 96= 100

→ $\sf \sqrt{100}$

→ $\sf \sqrt{10^2}$

→ $\sf 10$

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$\sf m=\cfrac{-2\pm \:10}{2\times \:2}$

Separate solutions:

$\sf m_1=\cfrac{-2+10}{2\times \:2}$

Add/Subtract then Multiply:

→ $\sf \cfrac{8}{2\times \:2}$

Divide:

→ $\sf \cfrac{8}{4}$

→ $\boxed{\sf 2}$

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Add/Subtract then Multiply:

$\sf m_2=\cfrac{-2-10}{2\times \:2}$

→ Divide:

→ $\sf -\cfrac{12}{4}$

→ $\boxed {\sf -3}$

Solutions:

$\sf m=2,\:m=-3$

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you can learn more about quadratic equations here → brainly.com/question/25312497