Solve for x 1/4x+4=3 im giving out brainliest

Use Rule of One: {x}^{1}=xx

1

=x.

\frac{x}{4}x+4=3

4

x

x+4=3

2 Use this rule: \frac{a}{b} \times c=\frac{ac}{b}

b

a

×c=

b

ac

.

\frac{xx}{4}+4=3

4

xx

+4=3

3 Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x

a

x

b

=x

a+b

.

\frac{{x}^{2}}{4}+4=3

4

x

2

+4=3

4 Subtract 44 from both sides.

\frac{{x}^{2}}{4}=3-4

4

x

2

=3−4

5 Simplify  3-43−4  to  -1−1.

\frac{{x}^{2}}{4}=-1

4

x

2

=−1

6 Multiply both sides by 44.

{x}^{2}=-1\times 4x

2

=−1×4

7 Simplify  1\times 41×4  to  44.

{x}^{2}=-4x

2

=−4

8 Take the square root of both sides.

x=\pm \sqrt{-4}x=±√

−4

9 Simplify  \sqrt{-4}√

−4

  to  \sqrt{4}\imath√

4

ı.

x=\pm \sqrt{4}\imathx=±√

4

ı

10 Since 2\times 2=42×2=4, the square root of 44 is 22.

x=\pm 2\imathx=±2ı

Explanation:

x= −4

Explanation:

1 /4

x+4=3

Step 1: Subtract 4 from both sides.

1 /4 x+4−4=3−4

1 /4 x= −1

Step 2: Multiply both sides by 4.

4*( 1/ 4 x)=(4)*(−1)

x=−4

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