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Simplifying (2x2 + -3x3)(7x2 + -6x3) = 0 Multiply (2x2 + -3x3) * (7x2 + -6x3) (2x2 * (7x2 + -6x3) + -3x3 * (7x2 + -6x3)) = 0 ((7x2 * 2x2 + -6x3 * 2x2) + -3x3 * (7x2 + -6x3)) = 0 ((14x4 + -12x5) + -3x3 * (7x2 + -6x3)) = 0 (14x4 + -12x5 + (7x2 * -3x3 + -6x3 * -3x3)) = 0 (14x4 + -12x5 + (-21x5 + 18x6)) = 0 Combine like terms: -12x5 + -21x5 = -33x5 (14x4 + -33x5 + 18x6) = 0 Solving 14x4 + -33x5 + 18x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x4'. x4(14 + -33x + 18x2) = 0 Factor a trinomial. x4((2 + -3x)(7 + -6x)) = 0Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 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 '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Subproblem 3
Set the factor '(7 + -6x)' equal to zero and attempt to solve: Simplifying 7 + -6x = 0 Solving 7 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 0 + -7 -6x = 0 + -7 Combine like terms: 0 + -7 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667Solution
x = {0.6666666667, 1.166666667}
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