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Simplifying
(x + -4)(2x + 1) + -1x(x + -7) = 0
Reorder the terms:
(-4 + x)(2x + 1) + -1x(x + -7) = 0
Reorder the terms:
(-4 + x)(1 + 2x) + -1x(x + -7) = 0
Multiply (-4 + x) * (1 + 2x)
(-4(1 + 2x) + x(1 + 2x)) + -1x(x + -7) = 0
((1 * -4 + 2x * -4) + x(1 + 2x)) + -1x(x + -7) = 0
((-4 + -8x) + x(1 + 2x)) + -1x(x + -7) = 0
(-4 + -8x + (1 * x + 2x * x)) + -1x(x + -7) = 0
(-4 + -8x + (1x + 2x2)) + -1x(x + -7) = 0
Combine like terms: -8x + 1x = -7x
(-4 + -7x + 2x2) + -1x(x + -7) = 0
Reorder the terms:
-4 + -7x + 2x2 + -1x(-7 + x) = 0
-4 + -7x + 2x2 + (-7 * -1x + x * -1x) = 0
-4 + -7x + 2x2 + (7x + -1x2) = 0
Reorder the terms:
-4 + -7x + 7x + 2x2 + -1x2 = 0
Combine like terms: -7x + 7x = 0
-4 + 0 + 2x2 + -1x2 = 0
-4 + 2x2 + -1x2 = 0
Combine like terms: 2x2 + -1x2 = 1x2
-4 + 1x2 = 0
Solving
-4 + 1x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 1x2 = 0 + 4
Combine like terms: -4 + 4 = 0
0 + 1x2 = 0 + 4
1x2 = 0 + 4
Combine like terms: 0 + 4 = 4
1x2 = 4
Divide each side by '1'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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