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Simplifying
(x + -4)(x + -3) = 66 + -7x
Reorder the terms:
(-4 + x)(x + -3) = 66 + -7x
Reorder the terms:
(-4 + x)(-3 + x) = 66 + -7x
Multiply (-4 + x) * (-3 + x)
(-4(-3 + x) + x(-3 + x)) = 66 + -7x
((-3 * -4 + x * -4) + x(-3 + x)) = 66 + -7x
((12 + -4x) + x(-3 + x)) = 66 + -7x
(12 + -4x + (-3 * x + x * x)) = 66 + -7x
(12 + -4x + (-3x + x2)) = 66 + -7x
Combine like terms: -4x + -3x = -7x
(12 + -7x + x2) = 66 + -7x
Add '7x' to each side of the equation.
12 + -7x + 7x + x2 = 66 + -7x + 7x
Combine like terms: -7x + 7x = 0
12 + 0 + x2 = 66 + -7x + 7x
12 + x2 = 66 + -7x + 7x
Combine like terms: -7x + 7x = 0
12 + x2 = 66 + 0
12 + x2 = 66
Solving
12 + x2 = 66
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12' to each side of the equation.
12 + -12 + x2 = 66 + -12
Combine like terms: 12 + -12 = 0
0 + x2 = 66 + -12
x2 = 66 + -12
Combine like terms: 66 + -12 = 54
x2 = 54
Simplifying
x2 = 54
Take the square root of each side:
x = {-7.348469228, 7.348469228}
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