If 3x - 7 is 5 more than 3, then the value of expression 3x3 + 2x2 -7 is
Question
If 3x - 7 is 5 more than 3, then the value of expression 3x3 + 2x2 -7 is
Solution
First, let's solve for x in the equation 3x - 7 = 5 + 3.
Step 1: Simplify the right side of the equation: 3x - 7 = 8.
Step 2: Add 7 to both sides of the equation to isolate the term with x on one side: 3x = 8 + 7, which simplifies to 3x = 15.
Step 3: Divide both sides of the equation by 3 to solve for x: x = 15 / 3, which simplifies to x = 5.
Now that we know x = 5, we can substitute this value into the expression 3x3 + 2x2 - 7.
Step 4: Substitute x = 5 into the expression: 3(5^3) + 2(5^2) - 7.
Step 5: Simplify the expression: 3(125) + 2(25) - 7 = 375 + 50 - 7 = 418.
So, the value of the expression 3x3 + 2x2 -7 when x = 5 is 418.
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