What are the solutions to the equation factor-2x^2=7x-15 ?

The solutions to the equation factor-2x^2=7x-15 are x= 3/2 ,x=-5

Find the zeros of factor-2x^2=7x-15

The zeros of factor-2x^2=7x-15 are x= 3/2 ,x=-5

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- 2 x^{2} = 7 x - 15

x = \frac{3}{2}, x = - 5

Decimal Notation

x = 1.5, x = - 5

Solution steps

- 2 x^{2} = 7 x - 15

Move

15

to the left side

- 2 x^{2} + 15 = 7 x

Move

7 x

to the left side

- 2 x^{2} + 15 - 7 x = 0

Write in the standard form

a x^{2} + b x + c = 0

- 2 x^{2} - 7 x + 15 = 0

Factor

- 2 x^{2} - 7 x + 15 : - (2 x - 3) (x + 5)

- (2 x - 3) (x + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

2 x - 3 = 0 or x + 5 = 0

Solve

2 x - 3 = 0 : x = \frac{3}{2}

Solve

x + 5 = 0 : x = - 5

The solutions to the quadratic equation are:

x = \frac{3}{2}, x = - 5

4 x^{2} + 63 x - 16 = 0

x, f (x + h) = (x + h)^{2}

a, a^{2} + b^{2} + c^{2} + (a + b + c)^{2} = 202 2^{2}

X^{2} + 8 X + 16 = 0

x^{2} + 4 x + \frac{1}{2} = 0

What are the solutions to the equation factor-2x^2=7x-15 ?
The solutions to the equation factor-2x^2=7x-15 are x= 3/2 ,x=-5
Find the zeros of factor-2x^2=7x-15
The zeros of factor-2x^2=7x-15 are x= 3/2 ,x=-5