7X*7X=5X

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Solution for 7X*7X=5X equation:


Simplifying
7X * 7X = 5X

Reorder the terms for easier multiplication:
7 * 7X * X = 5X

Multiply 7 * 7
49X * X = 5X

Multiply X * X
49X2 = 5X

Solving
49X2 = 5X

Solving for variable 'X'.

Reorder the terms:
-5X + 49X2 = 5X + -5X

Combine like terms: 5X + -5X = 0
-5X + 49X2 = 0

Factor out the Greatest Common Factor (GCF), 'X'.
X(-5 + 49X) = 0

Subproblem 1

Set the factor 'X' equal to zero and attempt to solve: Simplifying X = 0 Solving X = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X = 0

Subproblem 2

Set the factor '(-5 + 49X)' equal to zero and attempt to solve: Simplifying -5 + 49X = 0 Solving -5 + 49X = 0 Move all terms containing X to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 49X = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 49X = 0 + 5 49X = 0 + 5 Combine like terms: 0 + 5 = 5 49X = 5 Divide each side by '49'. X = 0.1020408163 Simplifying X = 0.1020408163

Solution

X = {0, 0.1020408163}

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