Respuesta:
[tex]x=9[/tex]
Explicación paso a paso:
[tex]\left(12x+7\right)\left(3x-5\right)-\left(6x+11\right)\left(6x-11\right)=122-43x\\\\\left(12x+7\right)\left(3x-5\right)-\left(6x+11\right)\left(6x-11\right)\\\\\left(12x+7\right)\left(3x-5\right)\\\\=12x\cdot \:3x+12x\left(-5\right)+7\cdot \:3x+7\left(-5\right)\\\\=12\cdot \:3xx-12\cdot \:5x+7\cdot \:3x-7\cdot \:5\\\\=36x^2-39x-35\\\\=36x^2-39x-35-\left(6x+11\right)\left(6x-11\right)\\\\=36x^2-39x-35-36x^2+121\\\\=-39x+86\\\\-39x+86=122-43x\\\\-39x+86-86=122-43x-86\\\\-39x=-43x+36\\[/tex]
[tex]-39x=-43x+36\\\\-39x+43x=-43x+36+43x\\\\4x=36\\\\\frac{4x}{4}=\frac{36}{4}\\\\x=9[/tex]
La respuesta es 9
Espero te sirva
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Verified answer
Respuesta:
[tex]x=9[/tex]
Explicación paso a paso:
[tex]\left(12x+7\right)\left(3x-5\right)-\left(6x+11\right)\left(6x-11\right)=122-43x\\\\\left(12x+7\right)\left(3x-5\right)-\left(6x+11\right)\left(6x-11\right)\\\\\left(12x+7\right)\left(3x-5\right)\\\\=12x\cdot \:3x+12x\left(-5\right)+7\cdot \:3x+7\left(-5\right)\\\\=12\cdot \:3xx-12\cdot \:5x+7\cdot \:3x-7\cdot \:5\\\\=36x^2-39x-35\\\\=36x^2-39x-35-\left(6x+11\right)\left(6x-11\right)\\\\=36x^2-39x-35-36x^2+121\\\\=-39x+86\\\\-39x+86=122-43x\\\\-39x+86-86=122-43x-86\\\\-39x=-43x+36\\[/tex]
[tex]-39x=-43x+36\\\\-39x+43x=-43x+36+43x\\\\4x=36\\\\\frac{4x}{4}=\frac{36}{4}\\\\x=9[/tex]
La respuesta es 9
Explicación paso a paso:
Espero te sirva