Solve the following equation. 7x^2 = 13x +2

First gather all x terms on left hand side,7x2-13x-2=0.
Since 7 is a prime number we can begin factorisation,(7x+/-?)(x+/-?)=0.
We know there must be a +/-2 and +/-1 in place of the question mark as they must multiply to make -2, so from the FOIL method, we can see,(7x+1)(x-2)=0 is the correct factorisation.
Then for the left bracket to equal 0, 7x+1=0 so 7x=-1 then x=-1/7.For the other solution, x-2=0 so x=2.
Therefore the two solutions are x= -1/7 or 2.

LS
Answered by Lewis S. Maths tutor

2926 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Expand and simplify the following; (2 + 3^0.5)^2 - (2 - 3^0.5)^2


The equation of line L is y = 3x - 2 and the equation of line Q is 3y - 9x + 5 = 0, show these two lines are parallel


I buy a car from a dealership for £3500. The car depreciates in value for every year I own it. What is the value of the car after I have owned it for 18 months if it depreciates at a rate of 5 percent?


How can I calculate the value of a number raised to the power of a fraction, e.g., 9^(3/2)?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning