25x^2-15x=10

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Solution for 25x^2-15x=10 equation:


Simplifying
25x2 + -15x = 10

Reorder the terms:
-15x + 25x2 = 10

Solving
-15x + 25x2 = 10

Solving for variable 'x'.

Reorder the terms:
-10 + -15x + 25x2 = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + -15x + 25x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-2 + -3x + 5x2) = 0

Factor a trinomial.
5((-2 + -5x)(1 + -1x)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-2 + -5x)' equal to zero and attempt to solve: Simplifying -2 + -5x = 0 Solving -2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 0 + 2 -5x = 0 + 2 Combine like terms: 0 + 2 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4

Subproblem 2

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

Solution

x = {-0.4, 1}

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