5x*5x+6x-9x*9x+x=

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Solution for 5x*5x+6x-9x*9x+x= equation:


Simplifying
5x * 5x + 6x + -9x * 9x + x = 0

Reorder the terms for easier multiplication:
5 * 5x * x + 6x + -9x * 9x + x = 0

Multiply 5 * 5
25x * x + 6x + -9x * 9x + x = 0

Multiply x * x
25x2 + 6x + -9x * 9x + x = 0

Reorder the terms for easier multiplication:
25x2 + 6x + -9 * 9x * x + x = 0

Multiply -9 * 9
25x2 + 6x + -81x * x + x = 0

Multiply x * x
25x2 + 6x + -81x2 + x = 0

Reorder the terms:
6x + x + 25x2 + -81x2 = 0

Combine like terms: 6x + x = 7x
7x + 25x2 + -81x2 = 0

Combine like terms: 25x2 + -81x2 = -56x2
7x + -56x2 = 0

Solving
7x + -56x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x'.
7x(1 + -8x) = 0

Ignore the factor 7.

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 '(1 + -8x)' equal to zero and attempt to solve: Simplifying 1 + -8x = 0 Solving 1 + -8x = 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 + -8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 0 + -1 -8x = 0 + -1 Combine like terms: 0 + -1 = -1 -8x = -1 Divide each side by '-8'. x = 0.125 Simplifying x = 0.125

Solution

x = {0, 0.125}

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