49x^2-210x+225=0

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Solution for 49x^2-210x+225=0 equation:


Simplifying
49x2 + -210x + 225 = 0

Reorder the terms:
225 + -210x + 49x2 = 0

Solving
225 + -210x + 49x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(15 + -7x)' equal to zero and attempt to solve: Simplifying 15 + -7x = 0 Solving 15 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -7x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = 0 + -15 -7x = 0 + -15 Combine like terms: 0 + -15 = -15 -7x = -15 Divide each side by '-7'. x = 2.142857143 Simplifying x = 2.142857143

Subproblem 2

Set the factor '(15 + -7x)' equal to zero and attempt to solve: Simplifying 15 + -7x = 0 Solving 15 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -7x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = 0 + -15 -7x = 0 + -15 Combine like terms: 0 + -15 = -15 -7x = -15 Divide each side by '-7'. x = 2.142857143 Simplifying x = 2.142857143

Solution

x = {2.142857143, 2.142857143}

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