Solve 7 (x-2) 5 (3-2x) > 4 (3-x)

Question

Solve the inequality

Solve the inequality by testing the values in the interval

Solve for x

x \in \emptyset

Alternative Form

No solution

Evaluate

7 (x - 2) \times 5 (3 - 2 x) > 4 (3 - x)

Multiply the terms

35 (x - 2) (3 - 2 x) > 4 (3 - x)

Move the expression to the left side

35 (x - 2) (3 - 2 x) - 4 (3 - x) > 0

Subtract the terms

More Steps

249 x - 70 x^{2} - 222 > 0

Rewrite the expression

249 x - 70 x^{2} - 222 = 0

Add or subtract both sides

249 x - 70 x^{2} = 222

Divide both sides

\frac{249 x - 70 x ^{2}}{- 70} = \frac{222}{- 70}

Evaluate

- \frac{249}{70} x + x^{2} = - \frac{111}{35}

Add the same value to both sides

- \frac{249}{70} x + x^{2} + \frac{62001}{19600} = - \frac{111}{35} + \frac{62001}{19600}

Simplify the expression

(x - \frac{249}{140})^{2} = - \frac{159}{19600}

Since the left-hand side is always positive or 0,and the right-hand side is always negative,the statement is false for any value of x

x \in / R

There are no key numbers,so choose any value to test,for example x = 0

x = 0

Solution

More Steps

x \in \emptyset

Alternative Form

No solution

Show Solution