=6x-7x[9-8(x+5)]

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Solution for =6x-7x[9-8(x+5)] equation:


Simplifying
0 = 6x + -7x[9 + -8(x + 5)]

Reorder the terms:
0 = 6x + -7x[9 + -8(5 + x)]
0 = 6x + -7x[9 + (5 * -8 + x * -8)]
0 = 6x + -7x[9 + (-40 + -8x)]

Combine like terms: 9 + -40 = -31
0 = 6x + -7x[-31 + -8x]
0 = 6x + [-31 * -7x + -8x * -7x]
0 = 6x + [217x + 56x2]

Combine like terms: 6x + 217x = 223x
0 = 223x + 56x2

Solving
0 = 223x + 56x2

Solving for variable 'x'.
Remove the zero:
-223x + -56x2 = 223x + 56x2 + -223x + -56x2

Reorder the terms:
-223x + -56x2 = 223x + -223x + 56x2 + -56x2

Combine like terms: 223x + -223x = 0
-223x + -56x2 = 0 + 56x2 + -56x2
-223x + -56x2 = 56x2 + -56x2

Combine like terms: 56x2 + -56x2 = 0
-223x + -56x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(223 + 56x) = 0

Ignore the factor -1.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(223 + 56x)' equal to zero and attempt to solve: Simplifying 223 + 56x = 0 Solving 223 + 56x = 0 Move all terms containing x to the left, all other terms to the right. Add '-223' to each side of the equation. 223 + -223 + 56x = 0 + -223 Combine like terms: 223 + -223 = 0 0 + 56x = 0 + -223 56x = 0 + -223 Combine like terms: 0 + -223 = -223 56x = -223 Divide each side by '56'. x = -3.982142857 Simplifying x = -3.982142857

Solution

x = {0, -3.982142857}

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