49x^2-28x=-4

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Solution for 49x^2-28x=-4 equation:


Simplifying
49x2 + -28x = -4

Reorder the terms:
-28x + 49x2 = -4

Solving
-28x + 49x2 = -4

Solving for variable 'x'.

Reorder the terms:
4 + -28x + 49x2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + -28x + 49x2 = 0

Factor a trinomial.
(2 + -7x)(2 + -7x) = 0

Subproblem 1

Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 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 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857

Subproblem 2

Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 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 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857

Solution

x = {0.2857142857, 0.2857142857}

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