42x^2-89x+25=0

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Solution for 42x^2-89x+25=0 equation:


Simplifying
42x2 + -89x + 25 = 0

Reorder the terms:
25 + -89x + 42x2 = 0

Solving
25 + -89x + 42x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -3x)(25 + -14x) = 0

Subproblem 1

Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 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 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333

Subproblem 2

Set the factor '(25 + -14x)' equal to zero and attempt to solve: Simplifying 25 + -14x = 0 Solving 25 + -14x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -14x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -14x = 0 + -25 -14x = 0 + -25 Combine like terms: 0 + -25 = -25 -14x = -25 Divide each side by '-14'. x = 1.785714286 Simplifying x = 1.785714286

Solution

x = {0.3333333333, 1.785714286}

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