15x^2-112x+49=0

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Solution for 15x^2-112x+49=0 equation:


Simplifying
15x2 + -112x + 49 = 0

Reorder the terms:
49 + -112x + 15x2 = 0

Solving
49 + -112x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + -15x)(7 + -1x) = 0


Subproblem 1
Set the factor '(7 + -15x)' equal to zero and attempt to solve:

Simplifying
7 + -15x = 0

Solving
7 + -15x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -15x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -15x = 0 + -7
-15x = 0 + -7

Combine like terms: 0 + -7 = -7
-15x = -7

Divide each side by '-15'.
x = 0.4666666667

Simplifying
x = 0.4666666667

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

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

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

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {0.4666666667, 7}

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