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Simplifying 42x9 = 7x(294x10) Remove parenthesis around (294x10) 42x9 = 7x * 294x10 Reorder the terms for easier multiplication: 42x9 = 7 * 294x * x10 Multiply 7 * 294 42x9 = 2058x * x10 Multiply x * x10 42x9 = 2058x11 Solving 42x9 = 2058x11 Solving for variable 'x'. Combine like terms: 2058x11 + -2058x11 = 0 42x9 + -2058x11 = 0 Factor out the Greatest Common Factor (GCF), '42x9'. 42x9(1 + -49x2) = 0 Factor a difference between two squares. 42x9((1 + 7x)(1 + -7x)) = 0 Ignore the factor 42.Subproblem 1
Set the factor 'x9' equal to zero and attempt to solve: Simplifying x9 = 0 Solving x9 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x9 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + 7x)' equal to zero and attempt to solve: Simplifying 1 + 7x = 0 Solving 1 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 0 + -1 7x = 0 + -1 Combine like terms: 0 + -1 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429Subproblem 3
Set the factor '(1 + -7x)' equal to zero and attempt to solve: Simplifying 1 + -7x = 0 Solving 1 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 0 + -1 -7x = 0 + -1 Combine like terms: 0 + -1 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429Solution
x = {-0.1428571429, 0.1428571429}
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