Answer:
x = -1 , 4 , -1/2
Step-by-step explanation:
(2x + 5)(3x - 2) + (x + 2)(2x - 3) = 0
[tex]6x^{2} - 4x + 15x - 10 + 2x^{2} - 3x + 4x - 6 = 0 \\ 8x^{2} + 12x - 16 = 0\\ 8x^{2} + 8x + 4x - 16 = 0 \\ 8x(x + 1) + 4(x - 4) = 0 \\ (8x + 4)(x + 1)(x - 4) = 0 \\ x = -1 /2 \\ x = - 1 \\ x = 4 \\ [/tex]
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Answers & Comments
Answer:
x = -1 , 4 , -1/2
Step-by-step explanation:
(2x + 5)(3x - 2) + (x + 2)(2x - 3) = 0
[tex]6x^{2} - 4x + 15x - 10 + 2x^{2} - 3x + 4x - 6 = 0 \\ 8x^{2} + 12x - 16 = 0\\ 8x^{2} + 8x + 4x - 16 = 0 \\ 8x(x + 1) + 4(x - 4) = 0 \\ (8x + 4)(x + 1)(x - 4) = 0 \\ x = -1 /2 \\ x = - 1 \\ x = 4 \\ [/tex]