5x^2-45x=-40

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Solution for 5x^2-45x=-40 equation:


Simplifying
5x2 + -45x = -40

Reorder the terms:
-45x + 5x2 = -40

Solving
-45x + 5x2 = -40

Solving for variable 'x'.

Reorder the terms:
40 + -45x + 5x2 = -40 + 40

Combine like terms: -40 + 40 = 0
40 + -45x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(8 + -9x + x2) = 0

Factor a trinomial.
5((1 + -1x)(8 + -1x)) = 0

Ignore the factor 5.

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

Solution

x = {1, 8}

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