x^2-8x^2-x+8=0

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Solution for x^2-8x^2-x+8=0 equation:


Simplifying
x2 + -8x2 + -1x + 8 = 0

Reorder the terms:
8 + -1x + x2 + -8x2 = 0

Combine like terms: x2 + -8x2 = -7x2
8 + -1x + -7x2 = 0

Solving
8 + -1x + -7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -1x)(8 + 7x) = 0

Subproblem 1

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Subproblem 2

Set the factor '(8 + 7x)' equal to zero and attempt to solve: Simplifying 8 + 7x = 0 Solving 8 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 0 + -8 7x = 0 + -8 Combine like terms: 0 + -8 = -8 7x = -8 Divide each side by '7'. x = -1.142857143 Simplifying x = -1.142857143

Solution

x = {1, -1.142857143}

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