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3 years ago

I need to solve for x

Mathematics

1 answer:

amm18123 years ago

7 0

Answer:

mAB = 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

Set up equation.

mAB + mBC = mAC

x + 4 + 4 = 3x + 2

Step 2: Solve for x

Combine like terms: x + 8 = 3x + 2
Isolate x terms: 8 = 2x + 2
Isolate x term: 6 = 2x
Isolate x: 3 = x
Rewrite: x = 3

Step 3: Find AB

Define: mAB = x + 4
Substitute in x: mAB = 3 + 4
Add: mAB = 7

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4 years ago

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Answer:

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Step-by-step explanation:

Given: 8x² + 10x - 7 = 0

When factoring trinomials of the form ax² + bx + c:

multiply the leading coefficient and the last term.
find the product factors that add to give you the coefficient of the middle term.
rewrite the polynomial with those factors replacing the middle term.

1. Split the middle term:

⇒ 8 × -7 = -56 [multiply the leading coefficient and the last term]

⇒ 14, -4 [find the product factors that add to the middle term's coefficient]

⇒ 8x² + 14x - 4x - 7 = 0 [rewrite with those factors replacing the middle term.]

2. Factor by grouping:

⇒ 8x² + 14x - 4x - 7 = 0 [factor out 2x]

⇒ 2x(4x + 7) - 4x - 7 = 0 [factor out -1 or the negative sign]

⇒ 2x(4x + 7) -1(4x + 7) = 0 [factor out 4x + 7]

⟹ (4x + 7)(2x - 1) = 0

3. Separate into 2 cases: