Answer:
x = 5
Step-by-step explanation:
Given
x = ( square both sides )
x² = 3x + 10 ( subtract 3x + 10 from both sides )
x² - 3x - 10 = 0 ← in standard form
(x - 5)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 2 = 0 ⇒ x = - 2
As a check
Substitute these values into the equation and if both sides are equal then they are solutions.
x = 5
right side = = = 5 = left side ← solution
x = - 2
right side = = = 2 ≠ - 2 ← not a solution
Thus x = 5 is the solution to the equation
Answer:
x= 45
Step-by-step explanation:
2x+x + 45 = 180
Combine like terms
3x+45 =180
subtract 45 from each side
3x+45-45= 180-45
3x = 135
Divide each side by 3
3x/3 = 135/3
x = 45