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Simplifying
14x(x + -4) = 5(9 + -22x) + 9x(x + 6)
Reorder the terms:
14x(-4 + x) = 5(9 + -22x) + 9x(x + 6)
(-4 * 14x + x * 14x) = 5(9 + -22x) + 9x(x + 6)
(-56x + 14x2) = 5(9 + -22x) + 9x(x + 6)
-56x + 14x2 = (9 * 5 + -22x * 5) + 9x(x + 6)
-56x + 14x2 = (45 + -110x) + 9x(x + 6)
Reorder the terms:
-56x + 14x2 = 45 + -110x + 9x(6 + x)
-56x + 14x2 = 45 + -110x + (6 * 9x + x * 9x)
-56x + 14x2 = 45 + -110x + (54x + 9x2)
Combine like terms: -110x + 54x = -56x
-56x + 14x2 = 45 + -56x + 9x2
Add '56x' to each side of the equation.
-56x + 56x + 14x2 = 45 + -56x + 56x + 9x2
Combine like terms: -56x + 56x = 0
0 + 14x2 = 45 + -56x + 56x + 9x2
14x2 = 45 + -56x + 56x + 9x2
Combine like terms: -56x + 56x = 0
14x2 = 45 + 0 + 9x2
14x2 = 45 + 9x2
Solving
14x2 = 45 + 9x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x2' to each side of the equation.
14x2 + -9x2 = 45 + 9x2 + -9x2
Combine like terms: 14x2 + -9x2 = 5x2
5x2 = 45 + 9x2 + -9x2
Combine like terms: 9x2 + -9x2 = 0
5x2 = 45 + 0
5x2 = 45
Divide each side by '5'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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