Answer:
The solution is -22
Step-by-step explanation:
<em>The solution of an equation is the value of the variable of the equation</em>
∵ -(4x - 3) = -7(9 + x)
→ Simplify each side
∵ -(4x) - -(3) = -7(9) + -7(x)
∴ (-4x) - (-3) = -63 + (-7x)
→ Remember (-)(-) = (+) and (-)(+) = (-)
∴ -4x + 3 = -63 - 7x
→ Add 7x to both sides
∴ -4x + 7x + 3 = -63 - 7x + 7x
∴ 3x + 3 = -63
→ Subtract 3 from both sides
∵ 3x + 3 - 3 = -63 - 3
∴ 3x = -66
→ Divide both sides by 3
∴ x = -22
∴ The solution is -22
Can you give more information on your question?
The quadratic formula is x= -b +/- √b²-4ac / 2a
In this problem,
a=6
b=4
c=-3
Now, we can plug this into the formula:
x= -4 +/- √4²-(4)(6)(-3) / (2)(6)
x= -4 +/- √16+72 / 12
x= -4 +/- √88 /12
x= -4 +/- 2√22 /12
x= -2 +/- √22 / 6
So,
x= -2 + √22 / 6
x= -2 - √22 / 6
