Question

2x(x - 3)=-8x then x is​

Answer 1

Question:

If 2x(x - 3)=-8x, then find the value of x.

Analysis:

Linear Equation: The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

• Step 1: Simplify each side, if needed.
• Step 2: Use Add./Sub. Properties to move the variable term to one side and all other terms to the other side.
• Step 3: Use Multiplication (or) Division
• Step 4: Check your answer.

______________________

Solution:

Given,

☞ 2x(x-3) = -8x

$→\;{\sf{2x(x-3) = -8x}}$

$→\;{\sf{2x²-6x = -8x}}$

$→\;{\sf{2x² = -8x+6x}}$

$→\;{\sf{2x² = -2x}}$

$→\;\Large{\sf{\frac{x²}{x} = \cancel{\frac{-2}{2}}}}$

$→\;{\sf{x = -1}}$

AnSweR:

Value of x is ◕➜ $\Large{\red{\bf{-1}}}$

$\huge{\green{\underline{\underline{\mathcal{Verify}}}}}$

➝ 2(-1)[(-1-3)] = -8(-1)

➝ -2(-4) = 8

➝ 8 = 8

➝ LHS = RHS

Hope It Helps You ✌️