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Simplifying
x(x + 7) + -4 = 7x + 32
Reorder the terms:
x(7 + x) + -4 = 7x + 32
(7 * x + x * x) + -4 = 7x + 32
(7x + x2) + -4 = 7x + 32
Reorder the terms:
-4 + 7x + x2 = 7x + 32
Reorder the terms:
-4 + 7x + x2 = 32 + 7x
Add '-7x' to each side of the equation.
-4 + 7x + -7x + x2 = 32 + 7x + -7x
Combine like terms: 7x + -7x = 0
-4 + 0 + x2 = 32 + 7x + -7x
-4 + x2 = 32 + 7x + -7x
Combine like terms: 7x + -7x = 0
-4 + x2 = 32 + 0
-4 + x2 = 32
Solving
-4 + x2 = 32
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 + x2 = 32 + 4
Combine like terms: -4 + 4 = 0
0 + x2 = 32 + 4
x2 = 32 + 4
Combine like terms: 32 + 4 = 36
x2 = 36
Simplifying
x2 = 36
Take the square root of each side:
x = {-6, 6}
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