7x^2+12=25x

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Solution for 7x^2+12=25x equation:


Simplifying
7x2 + 12 = 25x

Reorder the terms:
12 + 7x2 = 25x

Solving
12 + 7x2 = 25x

Solving for variable 'x'.

Reorder the terms:
12 + -25x + 7x2 = 25x + -25x

Combine like terms: 25x + -25x = 0
12 + -25x + 7x2 = 0

Factor a trinomial.
(4 + -7x)(3 + -1x) = 0

Subproblem 1

Set the factor '(4 + -7x)' equal to zero and attempt to solve: Simplifying 4 + -7x = 0 Solving 4 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 0 + -4 -7x = 0 + -4 Combine like terms: 0 + -4 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {0.5714285714, 3}

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