Let's distribute and combine like terms on both sides of the equation:
Left side:4x(2x - 7) + 3x(5 - 2x)= 8x^2 - 28x + 15x - 6x^2= 2x^2 - 13x
Right side:2x^2 + 39
Setting the two sides equal to each other:2x^2 - 13x = 2x^2 + 39
Subtracting 2x^2 from both sides:-13x = 39
Dividing by -13 on both sides:x = -3
Therefore, x = -3 is the solution to the equation.
Let's distribute and combine like terms on both sides of the equation:
Left side:
4x(2x - 7) + 3x(5 - 2x)
= 8x^2 - 28x + 15x - 6x^2
= 2x^2 - 13x
Right side:
2x^2 + 39
Setting the two sides equal to each other:
2x^2 - 13x = 2x^2 + 39
Subtracting 2x^2 from both sides:
-13x = 39
Dividing by -13 on both sides:
x = -3
Therefore, x = -3 is the solution to the equation.