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Sagot :
1. x + 4 = 0 or x + 7 = 0
x = -4 or x = -7
2. 3x - 7 = 0 or 2x + 5 = 0
x = 7/ 3 or x = -5/ 2
3. x + 5 = 0 or x -8 = 0
x = -5 or x = 8
4. (x - 6) = 0 or (3x + 7) = 0
x = 6 or x = -7/ 3
5. 5x + 2 = 0 or 2x + 1 = 0
x = -2/ 5 or x = -1/ 2
How to determine the values
1. (x+4)(x+7)=0
We have that;
Zero product property;
x + 4 = 0 or x + 7 = 0
x = -4 or x = -7
2. (3x-7)(2x+5)=0
We have that;
Zero product property ;
3x - 7 = 0 or 2x + 5 = 0
x = 7/ 3 or x = -5/ 2
3. x² -3x - 40=0
x² -8x + 5x - 40 = 0
factorize the common multipliers
x(x - 8) + 5(x - 8) = 0
Zero product property;
x + 5 = 0 or x -8 = 0
x = -5 or x = 8
4. 3x² - 11x - 42=0
3x² +7x - 18x - 42 = 0
Factorize further
x(3x + 7) - 6(3x + 7) = 0
Zero product property;
(x - 6) = 0 or (3x + 7) = 0
x = 6 or x = -7/ 3
5. 10x² + 9x + 2 = 0
10x² + 5x + 4x + 2 = 0
Factorize
5x( 2x + 1) + 2 (2x + 1) = 0
Zero product property;
5x + 2 = 0 or 2x + 1 = 0
x = -2/ 5 or x = -1/ 2
Thus, the zero product property states that the product of two non-zero elements is not zero
Learn more about zero product property here:
https://brainly.com/question/1626209
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