Answer:
The expression x² + 8x + 7 can be factored out as (x + 7)(x + 1).
Step-by-step explanation:
You can see how this factors by looking at the last term, and the coefficient of the second term. You need to find two numbers that multiply to make seven, and add to make eight.
Because seven is a prime number, this becomes very easy. If this works at all, the numbers must be seven and one.
And lo, if you check, seven and one do indeed add up to be eight, so that's what we need to use. Let's do it:
x² + 8x + 7
= x² + x + 7x + 7
= x(x + 1) + 7(x + 1)
= (x + 7)(x + 1)
the answer of division is 5.2
Since it is true that 9=9, the answer x=2 works.
As equations get more complex it is important to use properties of equality to isolate the variable and solve the equation.
Here are the properties of equality you need to isolate terms and solve equations.
The Subtraction Property of Equality is used when you have an equation with addition in it. It states that you can subtract the same quantity from both sides of the equation without changing the equality.
The Addition Property of Equality is used when you have an equation with subtraction in it. It states that you can add the same quantity to both sides of the equation without changing the equality.
The Division Property of Equality is used when you have an equation with a variable multiplied by a number. It states that you can divide both sides of an equation by the same quantity (as long as that quantity is not equal to zero) without changing the equality.
The Multiplication Property of Equality is used when you have an equation with a variable divided by a number. It states that you can multiply both sides of an equation by the same quantity without changing the equality.
Let’s look at an example and use properties of equality to isolate the variable and solve the equation.
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